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Finding the Fourth Proportional to 48,017.21, 66,242.21 and 27,862.38

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Solution

The fourth proportional to 48,017.21, 66,242.21 and 27,862.38 is: 38,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,017.21 : 66,242.21 = 27,862.38 : x
  2. Step 2: Convert to fraction form
    48,017.21/66,242.21 = 27,862.38/x
  3. Step 3: Cross multiply
    48,017.21x = 66,242.21 × 27,862.38
  4. Step 4: Simplify right side
    48,017.21x = 1,845,665,487.75
  5. Step 5: Solve for x
    x = 1,845,665,487.75/48,017.21
  6. Step 6: Final answer
    x = 38,437.59

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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.