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Finding the Fourth Proportional to 32,508.48, 48,764.42 and 9,136.72

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Solution

The fourth proportional to 32,508.48, 48,764.42 and 9,136.72 is: 13,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.48 : 48,764.42 = 9,136.72 : x
  2. Step 2: Convert to fraction form
    32,508.48/48,764.42 = 9,136.72/x
  3. Step 3: Cross multiply
    32,508.48x = 48,764.42 × 9,136.72
  4. Step 4: Simplify right side
    32,508.48x = 445,546,851.50
  5. Step 5: Solve for x
    x = 445,546,851.50/32,508.48
  6. Step 6: Final answer
    x = 13,705.56

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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.