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Finding the Fourth Proportional to 77,841.80, 107,422.87 and 46,013.66

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Solution

The fourth proportional to 77,841.80, 107,422.87 and 46,013.66 is: 63,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,841.80 : 107,422.87 = 46,013.66 : x
  2. Step 2: Convert to fraction form
    77,841.80/107,422.87 = 46,013.66/x
  3. Step 3: Cross multiply
    77,841.80x = 107,422.87 × 46,013.66
  4. Step 4: Simplify right side
    77,841.80x = 4,942,919,416.40
  5. Step 5: Solve for x
    x = 4,942,919,416.40/77,841.80
  6. Step 6: Final answer
    x = 63,499.55

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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.