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Finding the Fourth Proportional to 42,384, 58,489.92 and 23,524.16

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Solution

The fourth proportional to 42,384, 58,489.92 and 23,524.16 is: 32,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384 : 58,489.92 = 23,524.16 : x
  2. Step 2: Convert to fraction form
    42,384/58,489.92 = 23,524.16/x
  3. Step 3: Cross multiply
    42,384x = 58,489.92 × 23,524.16
  4. Step 4: Simplify right side
    42,384x = 1,375,926,236.47
  5. Step 5: Solve for x
    x = 1,375,926,236.47/42,384
  6. Step 6: Final answer
    x = 32,463.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.