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Finding the Fourth Proportional to 31,117.50, 42,935.70 and 18,194.29

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Solution

The fourth proportional to 31,117.50, 42,935.70 and 18,194.29 is: 25,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.50 : 42,935.70 = 18,194.29 : x
  2. Step 2: Convert to fraction form
    31,117.50/42,935.70 = 18,194.29/x
  3. Step 3: Cross multiply
    31,117.50x = 42,935.70 × 18,194.29
  4. Step 4: Simplify right side
    31,117.50x = 781,184,407.96
  5. Step 5: Solve for x
    x = 781,184,407.96/31,117.50
  6. Step 6: Final answer
    x = 25,104.35

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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.