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Finding the Fourth Proportional to 31,130.80, 42,960.30 and 17,702.06

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Solution

The fourth proportional to 31,130.80, 42,960.30 and 17,702.06 is: 24,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.80 : 42,960.30 = 17,702.06 : x
  2. Step 2: Convert to fraction form
    31,130.80/42,960.30 = 17,702.06/x
  3. Step 3: Cross multiply
    31,130.80x = 42,960.30 × 17,702.06
  4. Step 4: Simplify right side
    31,130.80x = 760,485,593.42
  5. Step 5: Solve for x
    x = 760,485,593.42/31,130.80
  6. Step 6: Final answer
    x = 24,428.72

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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.