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Finding the Fourth Proportional to 31,034.91, 42,828.12 and 17,608.80

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Solution

The fourth proportional to 31,034.91, 42,828.12 and 17,608.80 is: 24,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.91 : 42,828.12 = 17,608.80 : x
  2. Step 2: Convert to fraction form
    31,034.91/42,828.12 = 17,608.80/x
  3. Step 3: Cross multiply
    31,034.91x = 42,828.12 × 17,608.80
  4. Step 4: Simplify right side
    31,034.91x = 754,151,799.46
  5. Step 5: Solve for x
    x = 754,151,799.46/31,034.91
  6. Step 6: Final answer
    x = 24,300.11

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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.