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Finding the Fourth Proportional to 38,816.64, 53,565.12 and 22,049.28

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Solution

The fourth proportional to 38,816.64, 53,565.12 and 22,049.28 is: 30,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816.64 : 53,565.12 = 22,049.28 : x
  2. Step 2: Convert to fraction form
    38,816.64/53,565.12 = 22,049.28/x
  3. Step 3: Cross multiply
    38,816.64x = 53,565.12 × 22,049.28
  4. Step 4: Simplify right side
    38,816.64x = 1,181,072,329.11
  5. Step 5: Solve for x
    x = 1,181,072,329.11/38,816.64
  6. Step 6: Final answer
    x = 30,426.96

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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.