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Finding the Fourth Proportional to 78,163.66, 117,233.24 and 24,848.65

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Solution

The fourth proportional to 78,163.66, 117,233.24 and 24,848.65 is: 37,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.66 : 117,233.24 = 24,848.65 : x
  2. Step 2: Convert to fraction form
    78,163.66/117,233.24 = 24,848.65/x
  3. Step 3: Cross multiply
    78,163.66x = 117,233.24 × 24,848.65
  4. Step 4: Simplify right side
    78,163.66x = 2,913,087,687.00
  5. Step 5: Solve for x
    x = 2,913,087,687.00/78,163.66
  6. Step 6: Final answer
    x = 37,269.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.