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Finding the Fourth Proportional to 52,416.60, 78,630.42 and 30,229.50

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Solution

The fourth proportional to 52,416.60, 78,630.42 and 30,229.50 is: 45,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,416.60 : 78,630.42 = 30,229.50 : x
  2. Step 2: Convert to fraction form
    52,416.60/78,630.42 = 30,229.50/x
  3. Step 3: Cross multiply
    52,416.60x = 78,630.42 × 30,229.50
  4. Step 4: Simplify right side
    52,416.60x = 2,376,958,281.39
  5. Step 5: Solve for x
    x = 2,376,958,281.39/52,416.60
  6. Step 6: Final answer
    x = 45,347.43

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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.