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Finding the Fourth Proportional to 32,155.76, 48,155.88 and 27,801.20

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Solution

The fourth proportional to 32,155.76, 48,155.88 and 27,801.20 is: 41,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.76 : 48,155.88 = 27,801.20 : x
  2. Step 2: Convert to fraction form
    32,155.76/48,155.88 = 27,801.20/x
  3. Step 3: Cross multiply
    32,155.76x = 48,155.88 × 27,801.20
  4. Step 4: Simplify right side
    32,155.76x = 1,338,791,251.06
  5. Step 5: Solve for x
    x = 1,338,791,251.06/32,155.76
  6. Step 6: Final answer
    x = 41,634.57

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1.5x scale

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.