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Finding the Fourth Proportional to 29,101.38, 43,638.24 and 13,301.78

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Solution

The fourth proportional to 29,101.38, 43,638.24 and 13,301.78 is: 19,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.38 : 43,638.24 = 13,301.78 : x
  2. Step 2: Convert to fraction form
    29,101.38/43,638.24 = 13,301.78/x
  3. Step 3: Cross multiply
    29,101.38x = 43,638.24 × 13,301.78
  4. Step 4: Simplify right side
    29,101.38x = 580,466,268.07
  5. Step 5: Solve for x
    x = 580,466,268.07/29,101.38
  6. Step 6: Final answer
    x = 19,946.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.