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Finding the Fourth Proportional to 32,101.20, 48,155.40 and 9,914.40

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Solution

The fourth proportional to 32,101.20, 48,155.40 and 9,914.40 is: 14,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.20 : 48,155.40 = 9,914.40 : x
  2. Step 2: Convert to fraction form
    32,101.20/48,155.40 = 9,914.40/x
  3. Step 3: Cross multiply
    32,101.20x = 48,155.40 × 9,914.40
  4. Step 4: Simplify right side
    32,101.20x = 477,431,897.76
  5. Step 5: Solve for x
    x = 477,431,897.76/32,101.20
  6. Step 6: Final answer
    x = 14,872.71

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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.