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Finding the Fourth Proportional to 32,102.60, 48,153.90 and 8,410.10

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Solution

The fourth proportional to 32,102.60, 48,153.90 and 8,410.10 is: 12,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.60 : 48,153.90 = 8,410.10 : x
  2. Step 2: Convert to fraction form
    32,102.60/48,153.90 = 8,410.10/x
  3. Step 3: Cross multiply
    32,102.60x = 48,153.90 × 8,410.10
  4. Step 4: Simplify right side
    32,102.60x = 404,979,114.39
  5. Step 5: Solve for x
    x = 404,979,114.39/32,102.60
  6. Step 6: Final answer
    x = 12,615.15

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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.