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Finding the Fourth Proportional to 32,129.60, 48,201.60 and 12,406.40

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Solution

The fourth proportional to 32,129.60, 48,201.60 and 12,406.40 is: 18,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.60 : 48,201.60 = 12,406.40 : x
  2. Step 2: Convert to fraction form
    32,129.60/48,201.60 = 12,406.40/x
  3. Step 3: Cross multiply
    32,129.60x = 48,201.60 × 12,406.40
  4. Step 4: Simplify right side
    32,129.60x = 598,008,330.24
  5. Step 5: Solve for x
    x = 598,008,330.24/32,129.60
  6. Step 6: Final answer
    x = 18,612.38

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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.