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Finding the Fourth Proportional to 52,502.76, 78,754.17 and 13,059.87

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Solution

The fourth proportional to 52,502.76, 78,754.17 and 13,059.87 is: 19,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,502.76 : 78,754.17 = 13,059.87 : x
  2. Step 2: Convert to fraction form
    52,502.76/78,754.17 = 13,059.87/x
  3. Step 3: Cross multiply
    52,502.76x = 78,754.17 × 13,059.87
  4. Step 4: Simplify right side
    52,502.76x = 1,028,519,222.16
  5. Step 5: Solve for x
    x = 1,028,519,222.16/52,502.76
  6. Step 6: Final answer
    x = 19,589.81

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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.