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Finding the Fourth Proportional to 34,683.70, 52,023.92 and 24,122.50

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Solution

The fourth proportional to 34,683.70, 52,023.92 and 24,122.50 is: 36,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,683.70 : 52,023.92 = 24,122.50 : x
  2. Step 2: Convert to fraction form
    34,683.70/52,023.92 = 24,122.50/x
  3. Step 3: Cross multiply
    34,683.70x = 52,023.92 × 24,122.50
  4. Step 4: Simplify right side
    34,683.70x = 1,254,947,010.20
  5. Step 5: Solve for x
    x = 1,254,947,010.20/34,683.70
  6. Step 6: Final answer
    x = 36,182.62

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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.