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Finding the Fourth Proportional to 31,627.82, 43,646.10 and 17,480.76

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Solution

The fourth proportional to 31,627.82, 43,646.10 and 17,480.76 is: 24,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627.82 : 43,646.10 = 17,480.76 : x
  2. Step 2: Convert to fraction form
    31,627.82/43,646.10 = 17,480.76/x
  3. Step 3: Cross multiply
    31,627.82x = 43,646.10 × 17,480.76
  4. Step 4: Simplify right side
    31,627.82x = 762,966,999.04
  5. Step 5: Solve for x
    x = 762,966,999.04/31,627.82
  6. Step 6: Final answer
    x = 24,123.29

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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.