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Finding the Fourth Proportional to 52,323.57, 78,471.54 and 22,734.50

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Solution

The fourth proportional to 52,323.57, 78,471.54 and 22,734.50 is: 34,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,323.57 : 78,471.54 = 22,734.50 : x
  2. Step 2: Convert to fraction form
    52,323.57/78,471.54 = 22,734.50/x
  3. Step 3: Cross multiply
    52,323.57x = 78,471.54 × 22,734.50
  4. Step 4: Simplify right side
    52,323.57x = 1,784,010,833.77
  5. Step 5: Solve for x
    x = 1,784,010,833.77/52,323.57
  6. Step 6: Final answer
    x = 34,095.74

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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.