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Finding the Fourth Proportional to 76,909.80, 115,343.10 and 24,335.40

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Solution

The fourth proportional to 76,909.80, 115,343.10 and 24,335.40 is: 36,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,909.80 : 115,343.10 = 24,335.40 : x
  2. Step 2: Convert to fraction form
    76,909.80/115,343.10 = 24,335.40/x
  3. Step 3: Cross multiply
    76,909.80x = 115,343.10 × 24,335.40
  4. Step 4: Simplify right side
    76,909.80x = 2,806,920,475.74
  5. Step 5: Solve for x
    x = 2,806,920,475.74/76,909.80
  6. Step 6: Final answer
    x = 36,496.27

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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.