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Finding the Fourth Proportional to 74,032.32, 102,129.12 and 45,727.68

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Solution

The fourth proportional to 74,032.32, 102,129.12 and 45,727.68 is: 63,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,032.32 : 102,129.12 = 45,727.68 : x
  2. Step 2: Convert to fraction form
    74,032.32/102,129.12 = 45,727.68/x
  3. Step 3: Cross multiply
    74,032.32x = 102,129.12 × 45,727.68
  4. Step 4: Simplify right side
    74,032.32x = 4,670,127,718.04
  5. Step 5: Solve for x
    x = 4,670,127,718.04/74,032.32
  6. Step 6: Final answer
    x = 63,082.28

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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.