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Finding the Fourth Proportional to 71,282.34, 106,934.31 and 51,708.60

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Solution

The fourth proportional to 71,282.34, 106,934.31 and 51,708.60 is: 77,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,282.34 : 106,934.31 = 51,708.60 : x
  2. Step 2: Convert to fraction form
    71,282.34/106,934.31 = 51,708.60/x
  3. Step 3: Cross multiply
    71,282.34x = 106,934.31 × 51,708.60
  4. Step 4: Simplify right side
    71,282.34x = 5,529,423,462.07
  5. Step 5: Solve for x
    x = 5,529,423,462.07/71,282.34
  6. Step 6: Final answer
    x = 77,570.73

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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.