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Finding the Fourth Proportional to 41,397.69, 62,098.01 and 13,313.98

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Solution

The fourth proportional to 41,397.69, 62,098.01 and 13,313.98 is: 19,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,397.69 : 62,098.01 = 13,313.98 : x
  2. Step 2: Convert to fraction form
    41,397.69/62,098.01 = 13,313.98/x
  3. Step 3: Cross multiply
    41,397.69x = 62,098.01 × 13,313.98
  4. Step 4: Simplify right side
    41,397.69x = 826,771,724.16
  5. Step 5: Solve for x
    x = 826,771,724.16/41,397.69
  6. Step 6: Final answer
    x = 19,971.44

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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.