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Finding the Fourth Proportional to 32,458.25, 48,690.25 and 9,084.76

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Solution

The fourth proportional to 32,458.25, 48,690.25 and 9,084.76 is: 13,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.25 : 48,690.25 = 9,084.76 : x
  2. Step 2: Convert to fraction form
    32,458.25/48,690.25 = 9,084.76/x
  3. Step 3: Cross multiply
    32,458.25x = 48,690.25 × 9,084.76
  4. Step 4: Simplify right side
    32,458.25x = 442,339,091.15
  5. Step 5: Solve for x
    x = 442,339,091.15/32,458.25
  6. Step 6: Final answer
    x = 13,627.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.