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Finding the Fourth Proportional to 31,319.68, 43,223.16 and 20,690.68

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Solution

The fourth proportional to 31,319.68, 43,223.16 and 20,690.68 is: 28,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,319.68 : 43,223.16 = 20,690.68 : x
  2. Step 2: Convert to fraction form
    31,319.68/43,223.16 = 20,690.68/x
  3. Step 3: Cross multiply
    31,319.68x = 43,223.16 × 20,690.68
  4. Step 4: Simplify right side
    31,319.68x = 894,316,572.15
  5. Step 5: Solve for x
    x = 894,316,572.15/31,319.68
  6. Step 6: Final answer
    x = 28,554.46

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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.