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Finding the Fourth Proportional to 32,955.39, 49,441.52 and 9,581.83

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Solution

The fourth proportional to 32,955.39, 49,441.52 and 9,581.83 is: 14,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,955.39 : 49,441.52 = 9,581.83 : x
  2. Step 2: Convert to fraction form
    32,955.39/49,441.52 = 9,581.83/x
  3. Step 3: Cross multiply
    32,955.39x = 49,441.52 × 9,581.83
  4. Step 4: Simplify right side
    32,955.39x = 473,740,239.58
  5. Step 5: Solve for x
    x = 473,740,239.58/32,955.39
  6. Step 6: Final answer
    x = 14,375.20

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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.