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Finding the Fourth Proportional to 78,156.65, 107,848.90 and 44,167.74

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Solution

The fourth proportional to 78,156.65, 107,848.90 and 44,167.74 is: 60,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.65 : 107,848.90 = 44,167.74 : x
  2. Step 2: Convert to fraction form
    78,156.65/107,848.90 = 44,167.74/x
  3. Step 3: Cross multiply
    78,156.65x = 107,848.90 × 44,167.74
  4. Step 4: Simplify right side
    78,156.65x = 4,763,442,174.49
  5. Step 5: Solve for x
    x = 4,763,442,174.49/78,156.65
  6. Step 6: Final answer
    x = 60,947.37

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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.