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Finding the Fourth Proportional to 52,396.32, 78,593.04 and 22,814.10

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Solution

The fourth proportional to 52,396.32, 78,593.04 and 22,814.10 is: 34,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,396.32 : 78,593.04 = 22,814.10 : x
  2. Step 2: Convert to fraction form
    52,396.32/78,593.04 = 22,814.10/x
  3. Step 3: Cross multiply
    52,396.32x = 78,593.04 × 22,814.10
  4. Step 4: Simplify right side
    52,396.32x = 1,793,029,473.86
  5. Step 5: Solve for x
    x = 1,793,029,473.86/52,396.32
  6. Step 6: Final answer
    x = 34,220.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.