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Finding the Fourth Proportional to 32,517.36, 48,780.18 and 10,322.82

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Solution

The fourth proportional to 32,517.36, 48,780.18 and 10,322.82 is: 15,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.36 : 48,780.18 = 10,322.82 : x
  2. Step 2: Convert to fraction form
    32,517.36/48,780.18 = 10,322.82/x
  3. Step 3: Cross multiply
    32,517.36x = 48,780.18 × 10,322.82
  4. Step 4: Simplify right side
    32,517.36x = 503,549,017.71
  5. Step 5: Solve for x
    x = 503,549,017.71/32,517.36
  6. Step 6: Final answer
    x = 15,485.54

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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.