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Finding the Fourth Proportional to 101,535.46, 152,442.95 and 51,649.31

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Solution

The fourth proportional to 101,535.46, 152,442.95 and 51,649.31 is: 77,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,535.46 : 152,442.95 = 51,649.31 : x
  2. Step 2: Convert to fraction form
    101,535.46/152,442.95 = 51,649.31/x
  3. Step 3: Cross multiply
    101,535.46x = 152,442.95 × 51,649.31
  4. Step 4: Simplify right side
    101,535.46x = 7,873,573,304.73
  5. Step 5: Solve for x
    x = 7,873,573,304.73/101,535.46
  6. Step 6: Final answer
    x = 77,545.06

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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.