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Finding the Fourth Proportional to 78,155.88, 107,848.62 and 44,167.38

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Solution

The fourth proportional to 78,155.88, 107,848.62 and 44,167.38 is: 60,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,155.88 : 107,848.62 = 44,167.38 : x
  2. Step 2: Convert to fraction form
    78,155.88/107,848.62 = 44,167.38/x
  3. Step 3: Cross multiply
    78,155.88x = 107,848.62 × 44,167.38
  4. Step 4: Simplify right side
    78,155.88x = 4,763,390,982.02
  5. Step 5: Solve for x
    x = 4,763,390,982.02/78,155.88
  6. Step 6: Final answer
    x = 60,947.31

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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.