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Finding the Fourth Proportional to 42,614.56, 64,014 and 36,053.92

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Solution

The fourth proportional to 42,614.56, 64,014 and 36,053.92 is: 54,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614.56 : 64,014 = 36,053.92 : x
  2. Step 2: Convert to fraction form
    42,614.56/64,014 = 36,053.92/x
  3. Step 3: Cross multiply
    42,614.56x = 64,014 × 36,053.92
  4. Step 4: Simplify right side
    42,614.56x = 2,307,955,634.88
  5. Step 5: Solve for x
    x = 2,307,955,634.88/42,614.56
  6. Step 6: Final answer
    x = 54,158.85

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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.