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Finding the Fourth Proportional to 69,579.83, 96,018.27 and 38,534

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Solution

The fourth proportional to 69,579.83, 96,018.27 and 38,534 is: 53,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,579.83 : 96,018.27 = 38,534 : x
  2. Step 2: Convert to fraction form
    69,579.83/96,018.27 = 38,534/x
  3. Step 3: Cross multiply
    69,579.83x = 96,018.27 × 38,534
  4. Step 4: Simplify right side
    69,579.83x = 3,699,968,016.18
  5. Step 5: Solve for x
    x = 3,699,968,016.18/69,579.83
  6. Step 6: Final answer
    x = 53,175.87

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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.