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Finding the Fourth Proportional to 45,123.86, 62,270.14 and 24,980.30

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Solution

The fourth proportional to 45,123.86, 62,270.14 and 24,980.30 is: 34,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,123.86 : 62,270.14 = 24,980.30 : x
  2. Step 2: Convert to fraction form
    45,123.86/62,270.14 = 24,980.30/x
  3. Step 3: Cross multiply
    45,123.86x = 62,270.14 × 24,980.30
  4. Step 4: Simplify right side
    45,123.86x = 1,555,526,778.24
  5. Step 5: Solve for x
    x = 1,555,526,778.24/45,123.86
  6. Step 6: Final answer
    x = 34,472.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.