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Finding the Fourth Proportional to 73,694.40, 101,698.16 and 40,160.48

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Solution

The fourth proportional to 73,694.40, 101,698.16 and 40,160.48 is: 55,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,694.40 : 101,698.16 = 40,160.48 : x
  2. Step 2: Convert to fraction form
    73,694.40/101,698.16 = 40,160.48/x
  3. Step 3: Cross multiply
    73,694.40x = 101,698.16 × 40,160.48
  4. Step 4: Simplify right side
    73,694.40x = 4,084,246,920.72
  5. Step 5: Solve for x
    x = 4,084,246,920.72/73,694.40
  6. Step 6: Final answer
    x = 55,421.40

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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.