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Finding the Fourth Proportional to 38,116.76, 52,601.30 and 22,212.12

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Solution

The fourth proportional to 38,116.76, 52,601.30 and 22,212.12 is: 30,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116.76 : 52,601.30 = 22,212.12 : x
  2. Step 2: Convert to fraction form
    38,116.76/52,601.30 = 22,212.12/x
  3. Step 3: Cross multiply
    38,116.76x = 52,601.30 × 22,212.12
  4. Step 4: Simplify right side
    38,116.76x = 1,168,386,387.76
  5. Step 5: Solve for x
    x = 1,168,386,387.76/38,116.76
  6. Step 6: Final answer
    x = 30,652.83

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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.