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Finding the Fourth Proportional to 31,053.26, 42,853.65 and 16,906.20

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Solution

The fourth proportional to 31,053.26, 42,853.65 and 16,906.20 is: 23,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.26 : 42,853.65 = 16,906.20 : x
  2. Step 2: Convert to fraction form
    31,053.26/42,853.65 = 16,906.20/x
  3. Step 3: Cross multiply
    31,053.26x = 42,853.65 × 16,906.20
  4. Step 4: Simplify right side
    31,053.26x = 724,492,377.63
  5. Step 5: Solve for x
    x = 724,492,377.63/31,053.26
  6. Step 6: Final answer
    x = 23,330.64

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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.