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Finding the Fourth Proportional to 32,314.01, 48,471.05 and 10,129.14

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Solution

The fourth proportional to 32,314.01, 48,471.05 and 10,129.14 is: 15,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.01 : 48,471.05 = 10,129.14 : x
  2. Step 2: Convert to fraction form
    32,314.01/48,471.05 = 10,129.14/x
  3. Step 3: Cross multiply
    32,314.01x = 48,471.05 × 10,129.14
  4. Step 4: Simplify right side
    32,314.01x = 490,970,076.72
  5. Step 5: Solve for x
    x = 490,970,076.72/32,314.01
  6. Step 6: Final answer
    x = 15,193.72

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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.