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Finding the Fourth Proportional to 30,937.38, 42,693.61 and 16,790.22

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Solution

The fourth proportional to 30,937.38, 42,693.61 and 16,790.22 is: 23,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,937.38 : 42,693.61 = 16,790.22 : x
  2. Step 2: Convert to fraction form
    30,937.38/42,693.61 = 16,790.22/x
  3. Step 3: Cross multiply
    30,937.38x = 42,693.61 × 16,790.22
  4. Step 4: Simplify right side
    30,937.38x = 716,835,062.52
  5. Step 5: Solve for x
    x = 716,835,062.52/30,937.38
  6. Step 6: Final answer
    x = 23,170.52

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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.