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Finding the Fourth Proportional to 101,159.74, 151,691.05 and 47,807.25

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Solution

The fourth proportional to 101,159.74, 151,691.05 and 47,807.25 is: 71,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,159.74 : 151,691.05 = 47,807.25 : x
  2. Step 2: Convert to fraction form
    101,159.74/151,691.05 = 47,807.25/x
  3. Step 3: Cross multiply
    101,159.74x = 151,691.05 × 47,807.25
  4. Step 4: Simplify right side
    101,159.74x = 7,251,931,950.11
  5. Step 5: Solve for x
    x = 7,251,931,950.11/101,159.74
  6. Step 6: Final answer
    x = 71,687.93

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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.