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Finding the Fourth Proportional to 38,078.64, 52,543.80 and 22,165.92

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Solution

The fourth proportional to 38,078.64, 52,543.80 and 22,165.92 is: 30,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078.64 : 52,543.80 = 22,165.92 : x
  2. Step 2: Convert to fraction form
    38,078.64/52,543.80 = 22,165.92/x
  3. Step 3: Cross multiply
    38,078.64x = 52,543.80 × 22,165.92
  4. Step 4: Simplify right side
    38,078.64x = 1,164,681,667.30
  5. Step 5: Solve for x
    x = 1,164,681,667.30/38,078.64
  6. Step 6: Final answer
    x = 30,586.22

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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.