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Finding the Fourth Proportional to 77,321.78, 106,755.48 and 59,384.74

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Solution

The fourth proportional to 77,321.78, 106,755.48 and 59,384.74 is: 81,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,321.78 : 106,755.48 = 59,384.74 : x
  2. Step 2: Convert to fraction form
    77,321.78/106,755.48 = 59,384.74/x
  3. Step 3: Cross multiply
    77,321.78x = 106,755.48 × 59,384.74
  4. Step 4: Simplify right side
    77,321.78x = 6,339,646,423.38
  5. Step 5: Solve for x
    x = 6,339,646,423.38/77,321.78
  6. Step 6: Final answer
    x = 81,990.44

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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.