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Finding the Fourth Proportional to 53,712, 74,124 and 29,839.68

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Solution

The fourth proportional to 53,712, 74,124 and 29,839.68 is: 41,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712 : 74,124 = 29,839.68 : x
  2. Step 2: Convert to fraction form
    53,712/74,124 = 29,839.68/x
  3. Step 3: Cross multiply
    53,712x = 74,124 × 29,839.68
  4. Step 4: Simplify right side
    53,712x = 2,211,836,440.32
  5. Step 5: Solve for x
    x = 2,211,836,440.32/53,712
  6. Step 6: Final answer
    x = 41,179.56

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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.