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Finding the Fourth Proportional to 70,876.80, 106,329.60 and 24,134.40

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Solution

The fourth proportional to 70,876.80, 106,329.60 and 24,134.40 is: 36,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.80 : 106,329.60 = 24,134.40 : x
  2. Step 2: Convert to fraction form
    70,876.80/106,329.60 = 24,134.40/x
  3. Step 3: Cross multiply
    70,876.80x = 106,329.60 × 24,134.40
  4. Step 4: Simplify right side
    70,876.80x = 2,566,201,098.24
  5. Step 5: Solve for x
    x = 2,566,201,098.24/70,876.80
  6. Step 6: Final answer
    x = 36,206.50

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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.