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Finding the Fourth Proportional to 41,326.40, 57,029.76 and 22,464

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Solution

The fourth proportional to 41,326.40, 57,029.76 and 22,464 is: 30,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,326.40 : 57,029.76 = 22,464 : x
  2. Step 2: Convert to fraction form
    41,326.40/57,029.76 = 22,464/x
  3. Step 3: Cross multiply
    41,326.40x = 57,029.76 × 22,464
  4. Step 4: Simplify right side
    41,326.40x = 1,281,116,528.64
  5. Step 5: Solve for x
    x = 1,281,116,528.64/41,326.40
  6. Step 6: Final answer
    x = 30,999.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.