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Finding the Fourth Proportional to 77,299.68, 106,674.90 and 43,307.94

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Solution

The fourth proportional to 77,299.68, 106,674.90 and 43,307.94 is: 59,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,299.68 : 106,674.90 = 43,307.94 : x
  2. Step 2: Convert to fraction form
    77,299.68/106,674.90 = 43,307.94/x
  3. Step 3: Cross multiply
    77,299.68x = 106,674.90 × 43,307.94
  4. Step 4: Simplify right side
    77,299.68x = 4,619,870,168.71
  5. Step 5: Solve for x
    x = 4,619,870,168.71/77,299.68
  6. Step 6: Final answer
    x = 59,765.71

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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.