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Finding the Fourth Proportional to 32,954, 49,437.22 and 13,234.10

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Solution

The fourth proportional to 32,954, 49,437.22 and 13,234.10 is: 19,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954 : 49,437.22 = 13,234.10 : x
  2. Step 2: Convert to fraction form
    32,954/49,437.22 = 13,234.10/x
  3. Step 3: Cross multiply
    32,954x = 49,437.22 × 13,234.10
  4. Step 4: Simplify right side
    32,954x = 654,257,113.20
  5. Step 5: Solve for x
    x = 654,257,113.20/32,954
  6. Step 6: Final answer
    x = 19,853.65

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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.