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Finding the Fourth Proportional to 31,130.43, 42,959.78 and 17,701.68

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Solution

The fourth proportional to 31,130.43, 42,959.78 and 17,701.68 is: 24,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.43 : 42,959.78 = 17,701.68 : x
  2. Step 2: Convert to fraction form
    31,130.43/42,959.78 = 17,701.68/x
  3. Step 3: Cross multiply
    31,130.43x = 42,959.78 × 17,701.68
  4. Step 4: Simplify right side
    31,130.43x = 760,460,189.92
  5. Step 5: Solve for x
    x = 760,460,189.92/31,130.43
  6. Step 6: Final answer
    x = 24,428.19

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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.