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Finding the Fourth Proportional to 77,818.86, 107,395.47 and 44,284.86

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Solution

The fourth proportional to 77,818.86, 107,395.47 and 44,284.86 is: 61,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,818.86 : 107,395.47 = 44,284.86 : x
  2. Step 2: Convert to fraction form
    77,818.86/107,395.47 = 44,284.86/x
  3. Step 3: Cross multiply
    77,818.86x = 107,395.47 × 44,284.86
  4. Step 4: Simplify right side
    77,818.86x = 4,755,993,353.58
  5. Step 5: Solve for x
    x = 4,755,993,353.58/77,818.86
  6. Step 6: Final answer
    x = 61,116.20

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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.