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Finding the Fourth Proportional to 76,861.60, 115,308.60 and 24,276.40

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Solution

The fourth proportional to 76,861.60, 115,308.60 and 24,276.40 is: 36,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,861.60 : 115,308.60 = 24,276.40 : x
  2. Step 2: Convert to fraction form
    76,861.60/115,308.60 = 24,276.40/x
  3. Step 3: Cross multiply
    76,861.60x = 115,308.60 × 24,276.40
  4. Step 4: Simplify right side
    76,861.60x = 2,799,277,697.04
  5. Step 5: Solve for x
    x = 2,799,277,697.04/76,861.60
  6. Step 6: Final answer
    x = 36,419.72

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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.