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Finding the Fourth Proportional to 31,053.38, 42,853.86 and 16,906.32

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Solution

The fourth proportional to 31,053.38, 42,853.86 and 16,906.32 is: 23,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.38 : 42,853.86 = 16,906.32 : x
  2. Step 2: Convert to fraction form
    31,053.38/42,853.86 = 16,906.32/x
  3. Step 3: Cross multiply
    31,053.38x = 42,853.86 × 16,906.32
  4. Step 4: Simplify right side
    31,053.38x = 724,501,070.40
  5. Step 5: Solve for x
    x = 724,501,070.40/31,053.38
  6. Step 6: Final answer
    x = 23,330.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.