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Finding the Fourth Proportional to 114,532.66, 171,815.19 and 35,654.86

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Solution

The fourth proportional to 114,532.66, 171,815.19 and 35,654.86 is: 53,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,532.66 : 171,815.19 = 35,654.86 : x
  2. Step 2: Convert to fraction form
    114,532.66/171,815.19 = 35,654.86/x
  3. Step 3: Cross multiply
    114,532.66x = 171,815.19 × 35,654.86
  4. Step 4: Simplify right side
    114,532.66x = 6,126,046,545.32
  5. Step 5: Solve for x
    x = 6,126,046,545.32/114,532.66
  6. Step 6: Final answer
    x = 53,487.33

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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.