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Finding the Fourth Proportional to 54,102.16, 74,577 and 53,052.40

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Solution

The fourth proportional to 54,102.16, 74,577 and 53,052.40 is: 73,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102.16 : 74,577 = 53,052.40 : x
  2. Step 2: Convert to fraction form
    54,102.16/74,577 = 53,052.40/x
  3. Step 3: Cross multiply
    54,102.16x = 74,577 × 53,052.40
  4. Step 4: Simplify right side
    54,102.16x = 3,956,488,834.80
  5. Step 5: Solve for x
    x = 3,956,488,834.80/54,102.16
  6. Step 6: Final answer
    x = 73,129.96

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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.