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Finding the Fourth Proportional to 23,176,046.40, 32,513,649.60 and 23,176,046.40

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Solution

The fourth proportional to 23,176,046.40, 32,513,649.60 and 23,176,046.40 is: 32,513,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176,046.40 : 32,513,649.60 = 23,176,046.40 : x
  2. Step 2: Convert to fraction form
    23,176,046.40/32,513,649.60 = 23,176,046.40/x
  3. Step 3: Cross multiply
    23,176,046.40x = 32,513,649.60 × 23,176,046.40
  4. Step 4: Simplify right side
    23,176,046.40x = 753,537,851,762,941.38
  5. Step 5: Solve for x
    x = 753,537,851,762,941.38/23,176,046.40
  6. Step 6: Final answer
    x = 32,513,649.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.