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Finding the Fourth Proportional to 42,585, 58,767.30 and 23,723.34

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Solution

The fourth proportional to 42,585, 58,767.30 and 23,723.34 is: 32,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,585 : 58,767.30 = 23,723.34 : x
  2. Step 2: Convert to fraction form
    42,585/58,767.30 = 23,723.34/x
  3. Step 3: Cross multiply
    42,585x = 58,767.30 × 23,723.34
  4. Step 4: Simplify right side
    42,585x = 1,394,156,638.78
  5. Step 5: Solve for x
    x = 1,394,156,638.78/42,585
  6. Step 6: Final answer
    x = 32,738.21

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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.