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Finding the Fourth Proportional to 73,856.64, 101,932.92 and 42,033.36

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Solution

The fourth proportional to 73,856.64, 101,932.92 and 42,033.36 is: 58,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,856.64 : 101,932.92 = 42,033.36 : x
  2. Step 2: Convert to fraction form
    73,856.64/101,932.92 = 42,033.36/x
  3. Step 3: Cross multiply
    73,856.64x = 101,932.92 × 42,033.36
  4. Step 4: Simplify right side
    73,856.64x = 4,284,583,122.21
  5. Step 5: Solve for x
    x = 4,284,583,122.21/73,856.64
  6. Step 6: Final answer
    x = 58,012.16

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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.