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Finding the Fourth Proportional to 32,508.28, 48,764.32 and 9,136.54

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Solution

The fourth proportional to 32,508.28, 48,764.32 and 9,136.54 is: 13,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.28 : 48,764.32 = 9,136.54 : x
  2. Step 2: Convert to fraction form
    32,508.28/48,764.32 = 9,136.54/x
  3. Step 3: Cross multiply
    32,508.28x = 48,764.32 × 9,136.54
  4. Step 4: Simplify right side
    32,508.28x = 445,537,160.25
  5. Step 5: Solve for x
    x = 445,537,160.25/32,508.28
  6. Step 6: Final answer
    x = 13,705.34

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1.5x scale

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.