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Finding the Fourth Proportional to 39,308.40, 54,244.52 and 21,403

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Solution

The fourth proportional to 39,308.40, 54,244.52 and 21,403 is: 29,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,308.40 : 54,244.52 = 21,403 : x
  2. Step 2: Convert to fraction form
    39,308.40/54,244.52 = 21,403/x
  3. Step 3: Cross multiply
    39,308.40x = 54,244.52 × 21,403
  4. Step 4: Simplify right side
    39,308.40x = 1,160,995,461.56
  5. Step 5: Solve for x
    x = 1,160,995,461.56/39,308.40
  6. Step 6: Final answer
    x = 29,535.56

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