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Finding the Fourth Proportional to 32,206.14, 48,323.07 and 15,578.60

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Solution

The fourth proportional to 32,206.14, 48,323.07 and 15,578.60 is: 23,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.14 : 48,323.07 = 15,578.60 : x
  2. Step 2: Convert to fraction form
    32,206.14/48,323.07 = 15,578.60/x
  3. Step 3: Cross multiply
    32,206.14x = 48,323.07 × 15,578.60
  4. Step 4: Simplify right side
    32,206.14x = 752,805,536.69
  5. Step 5: Solve for x
    x = 752,805,536.69/32,206.14
  6. Step 6: Final answer
    x = 23,374.60

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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.