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Finding the Fourth Proportional to 83,214.99, 114,811.56 and 49,227.39

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Solution

The fourth proportional to 83,214.99, 114,811.56 and 49,227.39 is: 67,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214.99 : 114,811.56 = 49,227.39 : x
  2. Step 2: Convert to fraction form
    83,214.99/114,811.56 = 49,227.39/x
  3. Step 3: Cross multiply
    83,214.99x = 114,811.56 × 49,227.39
  4. Step 4: Simplify right side
    83,214.99x = 5,651,873,440.63
  5. Step 5: Solve for x
    x = 5,651,873,440.63/83,214.99
  6. Step 6: Final answer
    x = 67,918.93

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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.