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Finding the Fourth Proportional to 97,356.38, 134,351.82 and 52,644.38

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Solution

The fourth proportional to 97,356.38, 134,351.82 and 52,644.38 is: 72,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,356.38 : 134,351.82 = 52,644.38 : x
  2. Step 2: Convert to fraction form
    97,356.38/134,351.82 = 52,644.38/x
  3. Step 3: Cross multiply
    97,356.38x = 134,351.82 × 52,644.38
  4. Step 4: Simplify right side
    97,356.38x = 7,072,867,594.01
  5. Step 5: Solve for x
    x = 7,072,867,594.01/97,356.38
  6. Step 6: Final answer
    x = 72,649.25

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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.