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Finding the Fourth Proportional to 73,064.64, 100,830.81 and 40,358.97

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Solution

The fourth proportional to 73,064.64, 100,830.81 and 40,358.97 is: 55,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,064.64 : 100,830.81 = 40,358.97 : x
  2. Step 2: Convert to fraction form
    73,064.64/100,830.81 = 40,358.97/x
  3. Step 3: Cross multiply
    73,064.64x = 100,830.81 × 40,358.97
  4. Step 4: Simplify right side
    73,064.64x = 4,069,427,635.87
  5. Step 5: Solve for x
    x = 4,069,427,635.87/73,064.64
  6. Step 6: Final answer
    x = 55,696.27

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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.