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Finding the Fourth Proportional to 32,561.68, 48,792 and 22,585.90

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Solution

The fourth proportional to 32,561.68, 48,792 and 22,585.90 is: 33,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,561.68 : 48,792 = 22,585.90 : x
  2. Step 2: Convert to fraction form
    32,561.68/48,792 = 22,585.90/x
  3. Step 3: Cross multiply
    32,561.68x = 48,792 × 22,585.90
  4. Step 4: Simplify right side
    32,561.68x = 1,102,011,232.80
  5. Step 5: Solve for x
    x = 1,102,011,232.80/32,561.68
  6. Step 6: Final answer
    x = 33,843.81

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Why These Related Problems?

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