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Finding the Fourth Proportional to 51,665.80, 77,424.90 and 29,432.20

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Solution

The fourth proportional to 51,665.80, 77,424.90 and 29,432.20 is: 44,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,665.80 : 77,424.90 = 29,432.20 : x
  2. Step 2: Convert to fraction form
    51,665.80/77,424.90 = 29,432.20/x
  3. Step 3: Cross multiply
    51,665.80x = 77,424.90 × 29,432.20
  4. Step 4: Simplify right side
    51,665.80x = 2,278,785,141.78
  5. Step 5: Solve for x
    x = 2,278,785,141.78/51,665.80
  6. Step 6: Final answer
    x = 44,106.26

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1.5x scale

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.