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Finding the Fourth Proportional to 83,706.48, 125,559 and 33,785.80

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Solution

The fourth proportional to 83,706.48, 125,559 and 33,785.80 is: 50,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,706.48 : 125,559 = 33,785.80 : x
  2. Step 2: Convert to fraction form
    83,706.48/125,559 = 33,785.80/x
  3. Step 3: Cross multiply
    83,706.48x = 125,559 × 33,785.80
  4. Step 4: Simplify right side
    83,706.48x = 4,242,111,262.20
  5. Step 5: Solve for x
    x = 4,242,111,262.20/83,706.48
  6. Step 6: Final answer
    x = 50,678.41

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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.