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Finding the Fourth Proportional to 31,102.70, 42,921.51 and 17,672.90

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Solution

The fourth proportional to 31,102.70, 42,921.51 and 17,672.90 is: 24,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.70 : 42,921.51 = 17,672.90 : x
  2. Step 2: Convert to fraction form
    31,102.70/42,921.51 = 17,672.90/x
  3. Step 3: Cross multiply
    31,102.70x = 42,921.51 × 17,672.90
  4. Step 4: Simplify right side
    31,102.70x = 758,547,554.08
  5. Step 5: Solve for x
    x = 758,547,554.08/31,102.70
  6. Step 6: Final answer
    x = 24,388.48

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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.