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Finding the Fourth Proportional to 32,482.50, 48,715.12 and 12,761.22

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Solution

The fourth proportional to 32,482.50, 48,715.12 and 12,761.22 is: 19,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.50 : 48,715.12 = 12,761.22 : x
  2. Step 2: Convert to fraction form
    32,482.50/48,715.12 = 12,761.22/x
  3. Step 3: Cross multiply
    32,482.50x = 48,715.12 × 12,761.22
  4. Step 4: Simplify right side
    32,482.50x = 621,664,363.65
  5. Step 5: Solve for x
    x = 621,664,363.65/32,482.50
  6. Step 6: Final answer
    x = 19,138.44

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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.