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Finding the Fourth Proportional to 84,112.50, 126,106.47 and 50,824.77

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Solution

The fourth proportional to 84,112.50, 126,106.47 and 50,824.77 is: 76,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,112.50 : 126,106.47 = 50,824.77 : x
  2. Step 2: Convert to fraction form
    84,112.50/126,106.47 = 50,824.77/x
  3. Step 3: Cross multiply
    84,112.50x = 126,106.47 × 50,824.77
  4. Step 4: Simplify right side
    84,112.50x = 6,409,332,333.26
  5. Step 5: Solve for x
    x = 6,409,332,333.26/84,112.50
  6. Step 6: Final answer
    x = 76,199.52

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1.5x scale

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.