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Finding the Fourth Proportional to 77,881.12, 107,475.84 and 44,347.12

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Solution

The fourth proportional to 77,881.12, 107,475.84 and 44,347.12 is: 61,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.12 : 107,475.84 = 44,347.12 : x
  2. Step 2: Convert to fraction form
    77,881.12/107,475.84 = 44,347.12/x
  3. Step 3: Cross multiply
    77,881.12x = 107,475.84 × 44,347.12
  4. Step 4: Simplify right side
    77,881.12x = 4,766,243,973.58
  5. Step 5: Solve for x
    x = 4,766,243,973.58/77,881.12
  6. Step 6: Final answer
    x = 61,198.97

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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.