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Finding the Fourth Proportional to 77,097.96, 106,383.11 and 44,839.71

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Solution

The fourth proportional to 77,097.96, 106,383.11 and 44,839.71 is: 61,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.96 : 106,383.11 = 44,839.71 : x
  2. Step 2: Convert to fraction form
    77,097.96/106,383.11 = 44,839.71/x
  3. Step 3: Cross multiply
    77,097.96x = 106,383.11 × 44,839.71
  4. Step 4: Simplify right side
    77,097.96x = 4,770,187,577.10
  5. Step 5: Solve for x
    x = 4,770,187,577.10/77,097.96
  6. Step 6: Final answer
    x = 61,871.77

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1.5x scale

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.