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Finding the Fourth Proportional to 73,876.38, 101,924.12 and 42,037.32

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Solution

The fourth proportional to 73,876.38, 101,924.12 and 42,037.32 is: 57,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.38 : 101,924.12 = 42,037.32 : x
  2. Step 2: Convert to fraction form
    73,876.38/101,924.12 = 42,037.32/x
  3. Step 3: Cross multiply
    73,876.38x = 101,924.12 × 42,037.32
  4. Step 4: Simplify right side
    73,876.38x = 4,284,616,848.16
  5. Step 5: Solve for x
    x = 4,284,616,848.16/73,876.38
  6. Step 6: Final answer
    x = 57,997.11

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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.