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Finding the Fourth Proportional to 76,600.71, 105,708.72 and 43,066.71

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Solution

The fourth proportional to 76,600.71, 105,708.72 and 43,066.71 is: 59,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,600.71 : 105,708.72 = 43,066.71 : x
  2. Step 2: Convert to fraction form
    76,600.71/105,708.72 = 43,066.71/x
  3. Step 3: Cross multiply
    76,600.71x = 105,708.72 × 43,066.71
  4. Step 4: Simplify right side
    76,600.71x = 4,552,526,573.38
  5. Step 5: Solve for x
    x = 4,552,526,573.38/76,600.71
  6. Step 6: Final answer
    x = 59,431.91

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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.