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Finding the Fourth Proportional to 32,101.52, 48,160.17 and 9,914.40

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Solution

The fourth proportional to 32,101.52, 48,160.17 and 9,914.40 is: 14,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.52 : 48,160.17 = 9,914.40 : x
  2. Step 2: Convert to fraction form
    32,101.52/48,160.17 = 9,914.40/x
  3. Step 3: Cross multiply
    32,101.52x = 48,160.17 × 9,914.40
  4. Step 4: Simplify right side
    32,101.52x = 477,479,189.45
  5. Step 5: Solve for x
    x = 477,479,189.45/32,101.52
  6. Step 6: Final answer
    x = 14,874.04

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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.