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Finding the Fourth Proportional to 76,149.38, 105,071.56 and 49,288.16

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Solution

The fourth proportional to 76,149.38, 105,071.56 and 49,288.16 is: 68,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,149.38 : 105,071.56 = 49,288.16 : x
  2. Step 2: Convert to fraction form
    76,149.38/105,071.56 = 49,288.16/x
  3. Step 3: Cross multiply
    76,149.38x = 105,071.56 × 49,288.16
  4. Step 4: Simplify right side
    76,149.38x = 5,178,783,212.15
  5. Step 5: Solve for x
    x = 5,178,783,212.15/76,149.38
  6. Step 6: Final answer
    x = 68,008.22

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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.