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Finding the Fourth Proportional to 73,876.32, 101,937.45 and 42,045.75

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Solution

The fourth proportional to 73,876.32, 101,937.45 and 42,045.75 is: 58,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.32 : 101,937.45 = 42,045.75 : x
  2. Step 2: Convert to fraction form
    73,876.32/101,937.45 = 42,045.75/x
  3. Step 3: Cross multiply
    73,876.32x = 101,937.45 × 42,045.75
  4. Step 4: Simplify right side
    73,876.32x = 4,286,036,538.34
  5. Step 5: Solve for x
    x = 4,286,036,538.34/73,876.32
  6. Step 6: Final answer
    x = 58,016.38

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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.