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Finding the Fourth Proportional to 117,641.92, 176,363.66 and 51,031.87

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Solution

The fourth proportional to 117,641.92, 176,363.66 and 51,031.87 is: 76,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,641.92 : 176,363.66 = 51,031.87 : x
  2. Step 2: Convert to fraction form
    117,641.92/176,363.66 = 51,031.87/x
  3. Step 3: Cross multiply
    117,641.92x = 176,363.66 × 51,031.87
  4. Step 4: Simplify right side
    117,641.92x = 9,000,166,488.03
  5. Step 5: Solve for x
    x = 9,000,166,488.03/117,641.92
  6. Step 6: Final answer
    x = 76,504.76

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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.