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Finding the Fourth Proportional to 76,186.38, 105,143.16 and 43,931.37

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Solution

The fourth proportional to 76,186.38, 105,143.16 and 43,931.37 is: 60,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,186.38 : 105,143.16 = 43,931.37 : x
  2. Step 2: Convert to fraction form
    76,186.38/105,143.16 = 43,931.37/x
  3. Step 3: Cross multiply
    76,186.38x = 105,143.16 × 43,931.37
  4. Step 4: Simplify right side
    76,186.38x = 4,619,083,064.93
  5. Step 5: Solve for x
    x = 4,619,083,064.93/76,186.38
  6. Step 6: Final answer
    x = 60,628.72

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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.