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Finding the Fourth Proportional to 39,224.32, 58,780.32 and 30,418

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Solution

The fourth proportional to 39,224.32, 58,780.32 and 30,418 is: 45,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,224.32 : 58,780.32 = 30,418 : x
  2. Step 2: Convert to fraction form
    39,224.32/58,780.32 = 30,418/x
  3. Step 3: Cross multiply
    39,224.32x = 58,780.32 × 30,418
  4. Step 4: Simplify right side
    39,224.32x = 1,787,979,773.76
  5. Step 5: Solve for x
    x = 1,787,979,773.76/39,224.32
  6. Step 6: Final answer
    x = 45,583.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.