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Finding the Fourth Proportional to 114,459.87, 171,714.41 and 38,565.95

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Solution

The fourth proportional to 114,459.87, 171,714.41 and 38,565.95 is: 57,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,459.87 : 171,714.41 = 38,565.95 : x
  2. Step 2: Convert to fraction form
    114,459.87/171,714.41 = 38,565.95/x
  3. Step 3: Cross multiply
    114,459.87x = 171,714.41 × 38,565.95
  4. Step 4: Simplify right side
    114,459.87x = 6,622,329,350.34
  5. Step 5: Solve for x
    x = 6,622,329,350.34/114,459.87
  6. Step 6: Final answer
    x = 57,857.22

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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.