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Finding the Fourth Proportional to 73,908.74, 101,994.16 and 42,077.64

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Solution

The fourth proportional to 73,908.74, 101,994.16 and 42,077.64 is: 58,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,908.74 : 101,994.16 = 42,077.64 : x
  2. Step 2: Convert to fraction form
    73,908.74/101,994.16 = 42,077.64/x
  3. Step 3: Cross multiply
    73,908.74x = 101,994.16 × 42,077.64
  4. Step 4: Simplify right side
    73,908.74x = 4,291,673,441.39
  5. Step 5: Solve for x
    x = 4,291,673,441.39/73,908.74
  6. Step 6: Final answer
    x = 58,067.20

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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.