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Finding the Fourth Proportional to 55,421.60, 76,462.84 and 31,542.30

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Solution

The fourth proportional to 55,421.60, 76,462.84 and 31,542.30 is: 43,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,421.60 : 76,462.84 = 31,542.30 : x
  2. Step 2: Convert to fraction form
    55,421.60/76,462.84 = 31,542.30/x
  3. Step 3: Cross multiply
    55,421.60x = 76,462.84 × 31,542.30
  4. Step 4: Simplify right side
    55,421.60x = 2,411,813,838.13
  5. Step 5: Solve for x
    x = 2,411,813,838.13/55,421.60
  6. Step 6: Final answer
    x = 43,517.58

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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.