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Finding the Fourth Proportional to 42,672.63, 58,874.16 and 27,574.20

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Solution

The fourth proportional to 42,672.63, 58,874.16 and 27,574.20 is: 38,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,672.63 : 58,874.16 = 27,574.20 : x
  2. Step 2: Convert to fraction form
    42,672.63/58,874.16 = 27,574.20/x
  3. Step 3: Cross multiply
    42,672.63x = 58,874.16 × 27,574.20
  4. Step 4: Simplify right side
    42,672.63x = 1,623,407,862.67
  5. Step 5: Solve for x
    x = 1,623,407,862.67/42,672.63
  6. Step 6: Final answer
    x = 38,043.30

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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.