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Finding the Fourth Proportional to 32,453.68, 48,682.23 and 10,269.40

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Solution

The fourth proportional to 32,453.68, 48,682.23 and 10,269.40 is: 15,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453.68 : 48,682.23 = 10,269.40 : x
  2. Step 2: Convert to fraction form
    32,453.68/48,682.23 = 10,269.40/x
  3. Step 3: Cross multiply
    32,453.68x = 48,682.23 × 10,269.40
  4. Step 4: Simplify right side
    32,453.68x = 499,937,292.76
  5. Step 5: Solve for x
    x = 499,937,292.76/32,453.68
  6. Step 6: Final answer
    x = 15,404.64

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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.