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Finding the Fourth Proportional to 31,017.43, 42,802.81 and 16,870.27

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Solution

The fourth proportional to 31,017.43, 42,802.81 and 16,870.27 is: 23,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.43 : 42,802.81 = 16,870.27 : x
  2. Step 2: Convert to fraction form
    31,017.43/42,802.81 = 16,870.27/x
  3. Step 3: Cross multiply
    31,017.43x = 42,802.81 × 16,870.27
  4. Step 4: Simplify right side
    31,017.43x = 722,094,961.46
  5. Step 5: Solve for x
    x = 722,094,961.46/31,017.43
  6. Step 6: Final answer
    x = 23,280.30

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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.