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Finding the Fourth Proportional to 77,827, 107,401.70 and 44,293

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Solution

The fourth proportional to 77,827, 107,401.70 and 44,293 is: 61,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,827 : 107,401.70 = 44,293 : x
  2. Step 2: Convert to fraction form
    77,827/107,401.70 = 44,293/x
  3. Step 3: Cross multiply
    77,827x = 107,401.70 × 44,293
  4. Step 4: Simplify right side
    77,827x = 4,757,143,498.10
  5. Step 5: Solve for x
    x = 4,757,143,498.10/77,827
  6. Step 6: Final answer
    x = 61,124.59

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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.