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Finding the Fourth Proportional to 80,106.40, 119,929.20 and 49,002.40

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Solution

The fourth proportional to 80,106.40, 119,929.20 and 49,002.40 is: 73,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,106.40 : 119,929.20 = 49,002.40 : x
  2. Step 2: Convert to fraction form
    80,106.40/119,929.20 = 49,002.40/x
  3. Step 3: Cross multiply
    80,106.40x = 119,929.20 × 49,002.40
  4. Step 4: Simplify right side
    80,106.40x = 5,876,818,630.08
  5. Step 5: Solve for x
    x = 5,876,818,630.08/80,106.40
  6. Step 6: Final answer
    x = 73,362.66

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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.