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Finding the Fourth Proportional to 32,422.14, 48,645.90 and 12,697.29

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Solution

The fourth proportional to 32,422.14, 48,645.90 and 12,697.29 is: 19,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,422.14 : 48,645.90 = 12,697.29 : x
  2. Step 2: Convert to fraction form
    32,422.14/48,645.90 = 12,697.29/x
  3. Step 3: Cross multiply
    32,422.14x = 48,645.90 × 12,697.29
  4. Step 4: Simplify right side
    32,422.14x = 617,671,099.61
  5. Step 5: Solve for x
    x = 617,671,099.61/32,422.14
  6. Step 6: Final answer
    x = 19,050.90

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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.