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Finding the Fourth Proportional to 99,761.47, 137,666.53 and 54,438.32

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Solution

The fourth proportional to 99,761.47, 137,666.53 and 54,438.32 is: 75,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,761.47 : 137,666.53 = 54,438.32 : x
  2. Step 2: Convert to fraction form
    99,761.47/137,666.53 = 54,438.32/x
  3. Step 3: Cross multiply
    99,761.47x = 137,666.53 × 54,438.32
  4. Step 4: Simplify right side
    99,761.47x = 7,494,334,613.43
  5. Step 5: Solve for x
    x = 7,494,334,613.43/99,761.47
  6. Step 6: Final answer
    x = 75,122.54

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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.