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Finding the Fourth Proportional to 73,876.23, 101,949.78 and 42,047.16

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Solution

The fourth proportional to 73,876.23, 101,949.78 and 42,047.16 is: 58,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.23 : 101,949.78 = 42,047.16 : x
  2. Step 2: Convert to fraction form
    73,876.23/101,949.78 = 42,047.16/x
  3. Step 3: Cross multiply
    73,876.23x = 101,949.78 × 42,047.16
  4. Step 4: Simplify right side
    73,876.23x = 4,286,698,711.62
  5. Step 5: Solve for x
    x = 4,286,698,711.62/73,876.23
  6. Step 6: Final answer
    x = 58,025.41

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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.