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Finding the Fourth Proportional to 44,431.68, 66,658.44 and 31,309.68

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Solution

The fourth proportional to 44,431.68, 66,658.44 and 31,309.68 is: 46,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,431.68 : 66,658.44 = 31,309.68 : x
  2. Step 2: Convert to fraction form
    44,431.68/66,658.44 = 31,309.68/x
  3. Step 3: Cross multiply
    44,431.68x = 66,658.44 × 31,309.68
  4. Step 4: Simplify right side
    44,431.68x = 2,087,054,425.70
  5. Step 5: Solve for x
    x = 2,087,054,425.70/44,431.68
  6. Step 6: Final answer
    x = 46,972.21

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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.