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Finding the Fourth Proportional to 66,005.70, 99,023.13 and 32,743.86

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Solution

The fourth proportional to 66,005.70, 99,023.13 and 32,743.86 is: 49,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,005.70 : 99,023.13 = 32,743.86 : x
  2. Step 2: Convert to fraction form
    66,005.70/99,023.13 = 32,743.86/x
  3. Step 3: Cross multiply
    66,005.70x = 99,023.13 × 32,743.86
  4. Step 4: Simplify right side
    66,005.70x = 3,242,399,505.48
  5. Step 5: Solve for x
    x = 3,242,399,505.48/66,005.70
  6. Step 6: Final answer
    x = 49,123.02

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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.