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Finding the Fourth Proportional to 114,459.77, 171,714.28 and 38,565.86

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Solution

The fourth proportional to 114,459.77, 171,714.28 and 38,565.86 is: 57,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,459.77 : 171,714.28 = 38,565.86 : x
  2. Step 2: Convert to fraction form
    114,459.77/171,714.28 = 38,565.86/x
  3. Step 3: Cross multiply
    114,459.77x = 171,714.28 × 38,565.86
  4. Step 4: Simplify right side
    114,459.77x = 6,622,308,882.48
  5. Step 5: Solve for x
    x = 6,622,308,882.48/114,459.77
  6. Step 6: Final answer
    x = 57,857.09

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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.