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Finding the Fourth Proportional to 66,177.16, 99,207.42 and 24,595

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Solution

The fourth proportional to 66,177.16, 99,207.42 and 24,595 is: 36,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,177.16 : 99,207.42 = 24,595 : x
  2. Step 2: Convert to fraction form
    66,177.16/99,207.42 = 24,595/x
  3. Step 3: Cross multiply
    66,177.16x = 99,207.42 × 24,595
  4. Step 4: Simplify right side
    66,177.16x = 2,440,006,494.90
  5. Step 5: Solve for x
    x = 2,440,006,494.90/66,177.16
  6. Step 6: Final answer
    x = 36,870.83

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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.