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Finding the Fourth Proportional to 32,149, 48,209.98 and 12,155.13

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Solution

The fourth proportional to 32,149, 48,209.98 and 12,155.13 is: 18,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149 : 48,209.98 = 12,155.13 : x
  2. Step 2: Convert to fraction form
    32,149/48,209.98 = 12,155.13/x
  3. Step 3: Cross multiply
    32,149x = 48,209.98 × 12,155.13
  4. Step 4: Simplify right side
    32,149x = 585,998,574.20
  5. Step 5: Solve for x
    x = 585,998,574.20/32,149
  6. Step 6: Final answer
    x = 18,227.58

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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.