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Finding the Fourth Proportional to 32,284.70, 48,419.34 and 13,565.09

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Solution

The fourth proportional to 32,284.70, 48,419.34 and 13,565.09 is: 20,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284.70 : 48,419.34 = 13,565.09 : x
  2. Step 2: Convert to fraction form
    32,284.70/48,419.34 = 13,565.09/x
  3. Step 3: Cross multiply
    32,284.70x = 48,419.34 × 13,565.09
  4. Step 4: Simplify right side
    32,284.70x = 656,812,704.84
  5. Step 5: Solve for x
    x = 656,812,704.84/32,284.70
  6. Step 6: Final answer
    x = 20,344.40

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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.