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Finding the Fourth Proportional to 31,952.63, 44,102.14 and 19,862.23

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Solution

The fourth proportional to 31,952.63, 44,102.14 and 19,862.23 is: 27,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.63 : 44,102.14 = 19,862.23 : x
  2. Step 2: Convert to fraction form
    31,952.63/44,102.14 = 19,862.23/x
  3. Step 3: Cross multiply
    31,952.63x = 44,102.14 × 19,862.23
  4. Step 4: Simplify right side
    31,952.63x = 875,966,848.17
  5. Step 5: Solve for x
    x = 875,966,848.17/31,952.63
  6. Step 6: Final answer
    x = 27,414.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.