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Finding the Fourth Proportional to 32,494.96, 48,746.76 and 9,121.60

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Solution

The fourth proportional to 32,494.96, 48,746.76 and 9,121.60 is: 13,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.96 : 48,746.76 = 9,121.60 : x
  2. Step 2: Convert to fraction form
    32,494.96/48,746.76 = 9,121.60/x
  3. Step 3: Cross multiply
    32,494.96x = 48,746.76 × 9,121.60
  4. Step 4: Simplify right side
    32,494.96x = 444,648,446.02
  5. Step 5: Solve for x
    x = 444,648,446.02/32,494.96
  6. Step 6: Final answer
    x = 13,683.61

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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.