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Finding the Fourth Proportional to 101,737.88, 152,451.89 and 51,743.06

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Solution

The fourth proportional to 101,737.88, 152,451.89 and 51,743.06 is: 77,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,737.88 : 152,451.89 = 51,743.06 : x
  2. Step 2: Convert to fraction form
    101,737.88/152,451.89 = 51,743.06/x
  3. Step 3: Cross multiply
    101,737.88x = 152,451.89 × 51,743.06
  4. Step 4: Simplify right side
    101,737.88x = 7,888,326,270.41
  5. Step 5: Solve for x
    x = 7,888,326,270.41/101,737.88
  6. Step 6: Final answer
    x = 77,535.79

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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.