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Finding the Fourth Proportional to 83,009.79, 114,552.97 and 47,199.80

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Solution

The fourth proportional to 83,009.79, 114,552.97 and 47,199.80 is: 65,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009.79 : 114,552.97 = 47,199.80 : x
  2. Step 2: Convert to fraction form
    83,009.79/114,552.97 = 47,199.80/x
  3. Step 3: Cross multiply
    83,009.79x = 114,552.97 × 47,199.80
  4. Step 4: Simplify right side
    83,009.79x = 5,406,876,797.43
  5. Step 5: Solve for x
    x = 5,406,876,797.43/83,009.79
  6. Step 6: Final answer
    x = 65,135.41

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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.