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Finding the Fourth Proportional to 32,101.60, 48,152.04 and 9,912.46

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Solution

The fourth proportional to 32,101.60, 48,152.04 and 9,912.46 is: 14,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.60 : 48,152.04 = 9,912.46 : x
  2. Step 2: Convert to fraction form
    32,101.60/48,152.04 = 9,912.46/x
  3. Step 3: Cross multiply
    32,101.60x = 48,152.04 × 9,912.46
  4. Step 4: Simplify right side
    32,101.60x = 477,305,170.42
  5. Step 5: Solve for x
    x = 477,305,170.42/32,101.60
  6. Step 6: Final answer
    x = 14,868.58

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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.