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Finding the Fourth Proportional to 32,613.47, 48,920.22 and 7,989.47

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Solution

The fourth proportional to 32,613.47, 48,920.22 and 7,989.47 is: 11,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,613.47 : 48,920.22 = 7,989.47 : x
  2. Step 2: Convert to fraction form
    32,613.47/48,920.22 = 7,989.47/x
  3. Step 3: Cross multiply
    32,613.47x = 48,920.22 × 7,989.47
  4. Step 4: Simplify right side
    32,613.47x = 390,846,568.93
  5. Step 5: Solve for x
    x = 390,846,568.93/32,613.47
  6. Step 6: Final answer
    x = 11,984.21

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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.