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Finding the Fourth Proportional to 32,458.89, 48,690.96 and 9,974.52

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Solution

The fourth proportional to 32,458.89, 48,690.96 and 9,974.52 is: 14,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458.89 : 48,690.96 = 9,974.52 : x
  2. Step 2: Convert to fraction form
    32,458.89/48,690.96 = 9,974.52/x
  3. Step 3: Cross multiply
    32,458.89x = 48,690.96 × 9,974.52
  4. Step 4: Simplify right side
    32,458.89x = 485,668,954.34
  5. Step 5: Solve for x
    x = 485,668,954.34/32,458.89
  6. Step 6: Final answer
    x = 14,962.59

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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.