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Finding the Fourth Proportional to 30,217.40, 42,348.10 and 30,217.40

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Solution

The fourth proportional to 30,217.40, 42,348.10 and 30,217.40 is: 42,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.40 : 42,348.10 = 30,217.40 : x
  2. Step 2: Convert to fraction form
    30,217.40/42,348.10 = 30,217.40/x
  3. Step 3: Cross multiply
    30,217.40x = 42,348.10 × 30,217.40
  4. Step 4: Simplify right side
    30,217.40x = 1,279,649,476.94
  5. Step 5: Solve for x
    x = 1,279,649,476.94/30,217.40
  6. Step 6: Final answer
    x = 42,348.10

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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.