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Finding the Fourth Proportional to 38,358.68, 52,922.28 and 22,431.84

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Solution

The fourth proportional to 38,358.68, 52,922.28 and 22,431.84 is: 30,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358.68 : 52,922.28 = 22,431.84 : x
  2. Step 2: Convert to fraction form
    38,358.68/52,922.28 = 22,431.84/x
  3. Step 3: Cross multiply
    38,358.68x = 52,922.28 × 22,431.84
  4. Step 4: Simplify right side
    38,358.68x = 1,187,144,117.40
  5. Step 5: Solve for x
    x = 1,187,144,117.40/38,358.68
  6. Step 6: Final answer
    x = 30,948.51

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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.