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Finding the Fourth Proportional to 76,668.60, 115,002.90 and 24,083.40

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Solution

The fourth proportional to 76,668.60, 115,002.90 and 24,083.40 is: 36,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668.60 : 115,002.90 = 24,083.40 : x
  2. Step 2: Convert to fraction form
    76,668.60/115,002.90 = 24,083.40/x
  3. Step 3: Cross multiply
    76,668.60x = 115,002.90 × 24,083.40
  4. Step 4: Simplify right side
    76,668.60x = 2,769,660,841.86
  5. Step 5: Solve for x
    x = 2,769,660,841.86/76,668.60
  6. Step 6: Final answer
    x = 36,125.10

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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.