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Finding the Fourth Proportional to 77,755.38, 107,354.07 and 59,818.74

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Solution

The fourth proportional to 77,755.38, 107,354.07 and 59,818.74 is: 82,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,755.38 : 107,354.07 = 59,818.74 : x
  2. Step 2: Convert to fraction form
    77,755.38/107,354.07 = 59,818.74/x
  3. Step 3: Cross multiply
    77,755.38x = 107,354.07 × 59,818.74
  4. Step 4: Simplify right side
    77,755.38x = 6,421,785,201.27
  5. Step 5: Solve for x
    x = 6,421,785,201.27/77,755.38
  6. Step 6: Final answer
    x = 82,589.59

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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.