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Finding the Fourth Proportional to 32,478.71, 48,721.16 and 9,105.08

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Solution

The fourth proportional to 32,478.71, 48,721.16 and 9,105.08 is: 13,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.71 : 48,721.16 = 9,105.08 : x
  2. Step 2: Convert to fraction form
    32,478.71/48,721.16 = 9,105.08/x
  3. Step 3: Cross multiply
    32,478.71x = 48,721.16 × 9,105.08
  4. Step 4: Simplify right side
    32,478.71x = 443,609,770.36
  5. Step 5: Solve for x
    x = 443,609,770.36/32,478.71
  6. Step 6: Final answer
    x = 13,658.48

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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.