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Finding the Fourth Proportional to 31,101, 42,920.49 and 17,672.82

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Solution

The fourth proportional to 31,101, 42,920.49 and 17,672.82 is: 24,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,101 : 42,920.49 = 17,672.82 : x
  2. Step 2: Convert to fraction form
    31,101/42,920.49 = 17,672.82/x
  3. Step 3: Cross multiply
    31,101x = 42,920.49 × 17,672.82
  4. Step 4: Simplify right side
    31,101x = 758,526,094.08
  5. Step 5: Solve for x
    x = 758,526,094.08/31,101
  6. Step 6: Final answer
    x = 24,389.12

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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.