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Finding the Fourth Proportional to 42,672.12, 58,866.72 and 27,577.80

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Solution

The fourth proportional to 42,672.12, 58,866.72 and 27,577.80 is: 38,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,672.12 : 58,866.72 = 27,577.80 : x
  2. Step 2: Convert to fraction form
    42,672.12/58,866.72 = 27,577.80/x
  3. Step 3: Cross multiply
    42,672.12x = 58,866.72 × 27,577.80
  4. Step 4: Simplify right side
    42,672.12x = 1,623,414,630.82
  5. Step 5: Solve for x
    x = 1,623,414,630.82/42,672.12
  6. Step 6: Final answer
    x = 38,043.92

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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.