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Finding the Fourth Proportional to 73,784.70, 101,824.02 and 40,250.70

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Solution

The fourth proportional to 73,784.70, 101,824.02 and 40,250.70 is: 55,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784.70 : 101,824.02 = 40,250.70 : x
  2. Step 2: Convert to fraction form
    73,784.70/101,824.02 = 40,250.70/x
  3. Step 3: Cross multiply
    73,784.70x = 101,824.02 × 40,250.70
  4. Step 4: Simplify right side
    73,784.70x = 4,098,488,081.81
  5. Step 5: Solve for x
    x = 4,098,488,081.81/73,784.70
  6. Step 6: Final answer
    x = 55,546.58

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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.