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Finding the Fourth Proportional to 52,971.06, 73,097.73 and 29,096.31

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Solution

The fourth proportional to 52,971.06, 73,097.73 and 29,096.31 is: 40,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,971.06 : 73,097.73 = 29,096.31 : x
  2. Step 2: Convert to fraction form
    52,971.06/73,097.73 = 29,096.31/x
  3. Step 3: Cross multiply
    52,971.06x = 73,097.73 × 29,096.31
  4. Step 4: Simplify right side
    52,971.06x = 2,126,874,212.38
  5. Step 5: Solve for x
    x = 2,126,874,212.38/52,971.06
  6. Step 6: Final answer
    x = 40,151.63

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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.