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Finding the Fourth Proportional to 52,502.98, 78,666.80 and 36,892.66

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Solution

The fourth proportional to 52,502.98, 78,666.80 and 36,892.66 is: 55,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,502.98 : 78,666.80 = 36,892.66 : x
  2. Step 2: Convert to fraction form
    52,502.98/78,666.80 = 36,892.66/x
  3. Step 3: Cross multiply
    52,502.98x = 78,666.80 × 36,892.66
  4. Step 4: Simplify right side
    52,502.98x = 2,902,227,505.69
  5. Step 5: Solve for x
    x = 2,902,227,505.69/52,502.98
  6. Step 6: Final answer
    x = 55,277.39

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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.