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Finding the Fourth Proportional to 38,867.68, 53,631.12 and 22,949.92

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Solution

The fourth proportional to 38,867.68, 53,631.12 and 22,949.92 is: 31,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,867.68 : 53,631.12 = 22,949.92 : x
  2. Step 2: Convert to fraction form
    38,867.68/53,631.12 = 22,949.92/x
  3. Step 3: Cross multiply
    38,867.68x = 53,631.12 × 22,949.92
  4. Step 4: Simplify right side
    38,867.68x = 1,230,829,913.51
  5. Step 5: Solve for x
    x = 1,230,829,913.51/38,867.68
  6. Step 6: Final answer
    x = 31,667.18

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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.