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Finding the Fourth Proportional to 77,844, 107,424.84 and 44,310

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Solution

The fourth proportional to 77,844, 107,424.84 and 44,310 is: 61,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,844 : 107,424.84 = 44,310 : x
  2. Step 2: Convert to fraction form
    77,844/107,424.84 = 44,310/x
  3. Step 3: Cross multiply
    77,844x = 107,424.84 × 44,310
  4. Step 4: Simplify right side
    77,844x = 4,759,994,660.40
  5. Step 5: Solve for x
    x = 4,759,994,660.40/77,844
  6. Step 6: Final answer
    x = 61,147.87

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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.