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Finding the Fourth Proportional to 101,446.54, 152,045.17 and 56,979.82

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Solution

The fourth proportional to 101,446.54, 152,045.17 and 56,979.82 is: 85,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,446.54 : 152,045.17 = 56,979.82 : x
  2. Step 2: Convert to fraction form
    101,446.54/152,045.17 = 56,979.82/x
  3. Step 3: Cross multiply
    101,446.54x = 152,045.17 × 56,979.82
  4. Step 4: Simplify right side
    101,446.54x = 8,663,506,418.47
  5. Step 5: Solve for x
    x = 8,663,506,418.47/101,446.54
  6. Step 6: Final answer
    x = 85,399.72

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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.