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Finding the Fourth Proportional to 78,216.52, 107,937.38 and 44,224.42

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Solution

The fourth proportional to 78,216.52, 107,937.38 and 44,224.42 is: 61,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216.52 : 107,937.38 = 44,224.42 : x
  2. Step 2: Convert to fraction form
    78,216.52/107,937.38 = 44,224.42/x
  3. Step 3: Cross multiply
    78,216.52x = 107,937.38 × 44,224.42
  4. Step 4: Simplify right side
    78,216.52x = 4,773,468,026.82
  5. Step 5: Solve for x
    x = 4,773,468,026.82/78,216.52
  6. Step 6: Final answer
    x = 61,028.90

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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.