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Finding the Fourth Proportional to 36,545.64, 50,432.96 and 19,778.64

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Solution

The fourth proportional to 36,545.64, 50,432.96 and 19,778.64 is: 27,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,545.64 : 50,432.96 = 19,778.64 : x
  2. Step 2: Convert to fraction form
    36,545.64/50,432.96 = 19,778.64/x
  3. Step 3: Cross multiply
    36,545.64x = 50,432.96 × 19,778.64
  4. Step 4: Simplify right side
    36,545.64x = 997,495,261.08
  5. Step 5: Solve for x
    x = 997,495,261.08/36,545.64
  6. Step 6: Final answer
    x = 27,294.51

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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.