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Finding the Fourth Proportional to 52,502.57, 78,753.70 and 13,059.69

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Solution

The fourth proportional to 52,502.57, 78,753.70 and 13,059.69 is: 19,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,502.57 : 78,753.70 = 13,059.69 : x
  2. Step 2: Convert to fraction form
    52,502.57/78,753.70 = 13,059.69/x
  3. Step 3: Cross multiply
    52,502.57x = 78,753.70 × 13,059.69
  4. Step 4: Simplify right side
    52,502.57x = 1,028,498,908.35
  5. Step 5: Solve for x
    x = 1,028,498,908.35/52,502.57
  6. Step 6: Final answer
    x = 19,589.50

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Why These Related Problems?

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