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Finding the Fourth Proportional to 76,212.54, 105,177.06 and 45,997.38

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Solution

The fourth proportional to 76,212.54, 105,177.06 and 45,997.38 is: 63,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,212.54 : 105,177.06 = 45,997.38 : x
  2. Step 2: Convert to fraction form
    76,212.54/105,177.06 = 45,997.38/x
  3. Step 3: Cross multiply
    76,212.54x = 105,177.06 × 45,997.38
  4. Step 4: Simplify right side
    76,212.54x = 4,837,869,196.10
  5. Step 5: Solve for x
    x = 4,837,869,196.10/76,212.54
  6. Step 6: Final answer
    x = 63,478.65

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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.