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Finding the Fourth Proportional to 42,384, 58,487.04 and 23,522.16

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Solution

The fourth proportional to 42,384, 58,487.04 and 23,522.16 is: 32,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384 : 58,487.04 = 23,522.16 : x
  2. Step 2: Convert to fraction form
    42,384/58,487.04 = 23,522.16/x
  3. Step 3: Cross multiply
    42,384x = 58,487.04 × 23,522.16
  4. Step 4: Simplify right side
    42,384x = 1,375,741,512.81
  5. Step 5: Solve for x
    x = 1,375,741,512.81/42,384
  6. Step 6: Final answer
    x = 32,458.98

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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.