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Finding the Fourth Proportional to 57,781.74, 86,675.85 and 16,225.50

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Solution

The fourth proportional to 57,781.74, 86,675.85 and 16,225.50 is: 24,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.74 : 86,675.85 = 16,225.50 : x
  2. Step 2: Convert to fraction form
    57,781.74/86,675.85 = 16,225.50/x
  3. Step 3: Cross multiply
    57,781.74x = 86,675.85 × 16,225.50
  4. Step 4: Simplify right side
    57,781.74x = 1,406,359,004.18
  5. Step 5: Solve for x
    x = 1,406,359,004.18/57,781.74
  6. Step 6: Final answer
    x = 24,339.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.