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Finding the Fourth Proportional to 52,059.20, 78,042.72 and 24,349.76

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Solution

The fourth proportional to 52,059.20, 78,042.72 and 24,349.76 is: 36,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,059.20 : 78,042.72 = 24,349.76 : x
  2. Step 2: Convert to fraction form
    52,059.20/78,042.72 = 24,349.76/x
  3. Step 3: Cross multiply
    52,059.20x = 78,042.72 × 24,349.76
  4. Step 4: Simplify right side
    52,059.20x = 1,900,321,501.75
  5. Step 5: Solve for x
    x = 1,900,321,501.75/52,059.20
  6. Step 6: Final answer
    x = 36,503.09

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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.