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Finding the Fourth Proportional to 32,661,712.80, 48,992,569.20 and 13,486,096.80

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Solution

The fourth proportional to 32,661,712.80, 48,992,569.20 and 13,486,096.80 is: 20,229,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,661,712.80 : 48,992,569.20 = 13,486,096.80 : x
  2. Step 2: Convert to fraction form
    32,661,712.80/48,992,569.20 = 13,486,096.80/x
  3. Step 3: Cross multiply
    32,661,712.80x = 48,992,569.20 × 13,486,096.80
  4. Step 4: Simplify right side
    32,661,712.80x = 660,718,530,711,898.62
  5. Step 5: Solve for x
    x = 660,718,530,711,898.62/32,661,712.80
  6. Step 6: Final answer
    x = 20,229,145.20

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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.