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Finding the Fourth Proportional to 32,458.26, 48,683.61 and 9,086.52

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Solution

The fourth proportional to 32,458.26, 48,683.61 and 9,086.52 is: 13,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.26 : 48,683.61 = 9,086.52 : x
  2. Step 2: Convert to fraction form
    32,458.26/48,683.61 = 9,086.52/x
  3. Step 3: Cross multiply
    32,458.26x = 48,683.61 × 9,086.52
  4. Step 4: Simplify right side
    32,458.26x = 442,364,595.94
  5. Step 5: Solve for x
    x = 442,364,595.94/32,458.26
  6. Step 6: Final answer
    x = 13,628.72

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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.