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Finding the Fourth Proportional to 131,756.52, 197,635.20 and 31,916.52

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Solution

The fourth proportional to 131,756.52, 197,635.20 and 31,916.52 is: 47,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,756.52 : 197,635.20 = 31,916.52 : x
  2. Step 2: Convert to fraction form
    131,756.52/197,635.20 = 31,916.52/x
  3. Step 3: Cross multiply
    131,756.52x = 197,635.20 × 31,916.52
  4. Step 4: Simplify right side
    131,756.52x = 6,307,827,813.50
  5. Step 5: Solve for x
    x = 6,307,827,813.50/131,756.52
  6. Step 6: Final answer
    x = 47,874.88

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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.