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Finding the Fourth Proportional to 34,049, 46,954.06 and 32,080.68

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Solution

The fourth proportional to 34,049, 46,954.06 and 32,080.68 is: 44,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049 : 46,954.06 = 32,080.68 : x
  2. Step 2: Convert to fraction form
    34,049/46,954.06 = 32,080.68/x
  3. Step 3: Cross multiply
    34,049x = 46,954.06 × 32,080.68
  4. Step 4: Simplify right side
    34,049x = 1,506,318,173.56
  5. Step 5: Solve for x
    x = 1,506,318,173.56/34,049
  6. Step 6: Final answer
    x = 44,239.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.