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Finding the Fourth Proportional to 65,215.53, 89,991.81 and 37,987.38

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Solution

The fourth proportional to 65,215.53, 89,991.81 and 37,987.38 is: 52,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215.53 : 89,991.81 = 37,987.38 : x
  2. Step 2: Convert to fraction form
    65,215.53/89,991.81 = 37,987.38/x
  3. Step 3: Cross multiply
    65,215.53x = 89,991.81 × 37,987.38
  4. Step 4: Simplify right side
    65,215.53x = 3,418,553,083.36
  5. Step 5: Solve for x
    x = 3,418,553,083.36/65,215.53
  6. Step 6: Final answer
    x = 52,419.31

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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.