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Finding the Fourth Proportional to 32,126.60, 48,197.10 and 12,403.40

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Solution

The fourth proportional to 32,126.60, 48,197.10 and 12,403.40 is: 18,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,126.60 : 48,197.10 = 12,403.40 : x
  2. Step 2: Convert to fraction form
    32,126.60/48,197.10 = 12,403.40/x
  3. Step 3: Cross multiply
    32,126.60x = 48,197.10 × 12,403.40
  4. Step 4: Simplify right side
    32,126.60x = 597,807,910.14
  5. Step 5: Solve for x
    x = 597,807,910.14/32,126.60
  6. Step 6: Final answer
    x = 18,607.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.