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Finding the Fourth Proportional to 32,508.21, 48,763.98 and 9,136.47

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Solution

The fourth proportional to 32,508.21, 48,763.98 and 9,136.47 is: 13,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.21 : 48,763.98 = 9,136.47 : x
  2. Step 2: Convert to fraction form
    32,508.21/48,763.98 = 9,136.47/x
  3. Step 3: Cross multiply
    32,508.21x = 48,763.98 × 9,136.47
  4. Step 4: Simplify right side
    32,508.21x = 445,530,640.35
  5. Step 5: Solve for x
    x = 445,530,640.35/32,508.21
  6. Step 6: Final answer
    x = 13,705.17

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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.