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Finding the Fourth Proportional to 32,863.70, 49,303.84 and 9,171.22

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Solution

The fourth proportional to 32,863.70, 49,303.84 and 9,171.22 is: 13,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.70 : 49,303.84 = 9,171.22 : x
  2. Step 2: Convert to fraction form
    32,863.70/49,303.84 = 9,171.22/x
  3. Step 3: Cross multiply
    32,863.70x = 49,303.84 × 9,171.22
  4. Step 4: Simplify right side
    32,863.70x = 452,176,363.48
  5. Step 5: Solve for x
    x = 452,176,363.48/32,863.70
  6. Step 6: Final answer
    x = 13,759.14

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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.