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Finding the Fourth Proportional to 52,540.80, 78,868.80 and 32,841.60

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Solution

The fourth proportional to 52,540.80, 78,868.80 and 32,841.60 is: 49,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,540.80 : 78,868.80 = 32,841.60 : x
  2. Step 2: Convert to fraction form
    52,540.80/78,868.80 = 32,841.60/x
  3. Step 3: Cross multiply
    52,540.80x = 78,868.80 × 32,841.60
  4. Step 4: Simplify right side
    52,540.80x = 2,590,177,582.08
  5. Step 5: Solve for x
    x = 2,590,177,582.08/52,540.80
  6. Step 6: Final answer
    x = 49,298.40

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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.