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Finding the Fourth Proportional to 77,858, 107,444.19 and 44,324

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Solution

The fourth proportional to 77,858, 107,444.19 and 44,324 is: 61,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858 : 107,444.19 = 44,324 : x
  2. Step 2: Convert to fraction form
    77,858/107,444.19 = 44,324/x
  3. Step 3: Cross multiply
    77,858x = 107,444.19 × 44,324
  4. Step 4: Simplify right side
    77,858x = 4,762,356,277.56
  5. Step 5: Solve for x
    x = 4,762,356,277.56/77,858
  6. Step 6: Final answer
    x = 61,167.21

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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.