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Finding the Fourth Proportional to 51,087.38, 70,506.45 and 29,865.38

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Solution

The fourth proportional to 51,087.38, 70,506.45 and 29,865.38 is: 41,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,087.38 : 70,506.45 = 29,865.38 : x
  2. Step 2: Convert to fraction form
    51,087.38/70,506.45 = 29,865.38/x
  3. Step 3: Cross multiply
    51,087.38x = 70,506.45 × 29,865.38
  4. Step 4: Simplify right side
    51,087.38x = 2,105,701,569.17
  5. Step 5: Solve for x
    x = 2,105,701,569.17/51,087.38
  6. Step 6: Final answer
    x = 41,217.65

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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.