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Finding the Fourth Proportional to 83,253.88, 114,843.58 and 51,400.09

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Solution

The fourth proportional to 83,253.88, 114,843.58 and 51,400.09 is: 70,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,253.88 : 114,843.58 = 51,400.09 : x
  2. Step 2: Convert to fraction form
    83,253.88/114,843.58 = 51,400.09/x
  3. Step 3: Cross multiply
    83,253.88x = 114,843.58 × 51,400.09
  4. Step 4: Simplify right side
    83,253.88x = 5,902,970,347.92
  5. Step 5: Solve for x
    x = 5,902,970,347.92/83,253.88
  6. Step 6: Final answer
    x = 70,903.25

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1.5x scale

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.