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Finding the Fourth Proportional to 76,565.52, 114,882.44 and 39,105.86

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Solution

The fourth proportional to 76,565.52, 114,882.44 and 39,105.86 is: 58,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565.52 : 114,882.44 = 39,105.86 : x
  2. Step 2: Convert to fraction form
    76,565.52/114,882.44 = 39,105.86/x
  3. Step 3: Cross multiply
    76,565.52x = 114,882.44 × 39,105.86
  4. Step 4: Simplify right side
    76,565.52x = 4,492,575,845.16
  5. Step 5: Solve for x
    x = 4,492,575,845.16/76,565.52
  6. Step 6: Final answer
    x = 58,676.23

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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.