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Finding the Fourth Proportional to 101,289.11, 151,966.47 and 48,691.76

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Solution

The fourth proportional to 101,289.11, 151,966.47 and 48,691.76 is: 73,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,289.11 : 151,966.47 = 48,691.76 : x
  2. Step 2: Convert to fraction form
    101,289.11/151,966.47 = 48,691.76/x
  3. Step 3: Cross multiply
    101,289.11x = 151,966.47 × 48,691.76
  4. Step 4: Simplify right side
    101,289.11x = 7,399,514,885.29
  5. Step 5: Solve for x
    x = 7,399,514,885.29/101,289.11
  6. Step 6: Final answer
    x = 73,053.41

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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.