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Finding the Fourth Proportional to 38,113.28, 52,574.52 and 22,196

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Solution

The fourth proportional to 38,113.28, 52,574.52 and 22,196 is: 30,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113.28 : 52,574.52 = 22,196 : x
  2. Step 2: Convert to fraction form
    38,113.28/52,574.52 = 22,196/x
  3. Step 3: Cross multiply
    38,113.28x = 52,574.52 × 22,196
  4. Step 4: Simplify right side
    38,113.28x = 1,166,944,045.92
  5. Step 5: Solve for x
    x = 1,166,944,045.92/38,113.28
  6. Step 6: Final answer
    x = 30,617.78

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