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Finding the Fourth Proportional to 32,626.58, 48,947.64 and 11,568.46

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Solution

The fourth proportional to 32,626.58, 48,947.64 and 11,568.46 is: 17,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,626.58 : 48,947.64 = 11,568.46 : x
  2. Step 2: Convert to fraction form
    32,626.58/48,947.64 = 11,568.46/x
  3. Step 3: Cross multiply
    32,626.58x = 48,947.64 × 11,568.46
  4. Step 4: Simplify right side
    32,626.58x = 566,248,570.70
  5. Step 5: Solve for x
    x = 566,248,570.70/32,626.58
  6. Step 6: Final answer
    x = 17,355.44

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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.