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Finding the Fourth Proportional to 32,854.79, 49,283.78 and 9,162.29

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Solution

The fourth proportional to 32,854.79, 49,283.78 and 9,162.29 is: 13,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.79 : 49,283.78 = 9,162.29 : x
  2. Step 2: Convert to fraction form
    32,854.79/49,283.78 = 9,162.29/x
  3. Step 3: Cross multiply
    32,854.79x = 49,283.78 × 9,162.29
  4. Step 4: Simplify right side
    32,854.79x = 451,552,362.05
  5. Step 5: Solve for x
    x = 451,552,362.05/32,854.79
  6. Step 6: Final answer
    x = 13,743.88

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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.