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Finding the Fourth Proportional to 77,097.66, 106,394.77 and 43,563.66

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Solution

The fourth proportional to 77,097.66, 106,394.77 and 43,563.66 is: 60,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.66 : 106,394.77 = 43,563.66 : x
  2. Step 2: Convert to fraction form
    77,097.66/106,394.77 = 43,563.66/x
  3. Step 3: Cross multiply
    77,097.66x = 106,394.77 × 43,563.66
  4. Step 4: Simplify right side
    77,097.66x = 4,634,944,996.49
  5. Step 5: Solve for x
    x = 4,634,944,996.49/77,097.66
  6. Step 6: Final answer
    x = 60,117.85

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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.