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Finding the Fourth Proportional to 78,757.08, 108,682.38 and 42,947.82

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Solution

The fourth proportional to 78,757.08, 108,682.38 and 42,947.82 is: 59,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,757.08 : 108,682.38 = 42,947.82 : x
  2. Step 2: Convert to fraction form
    78,757.08/108,682.38 = 42,947.82/x
  3. Step 3: Cross multiply
    78,757.08x = 108,682.38 × 42,947.82
  4. Step 4: Simplify right side
    78,757.08x = 4,667,671,293.41
  5. Step 5: Solve for x
    x = 4,667,671,293.41/78,757.08
  6. Step 6: Final answer
    x = 59,266.69

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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.