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Finding the Fourth Proportional to 65,108.24, 89,864.03 and 38,259.37

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Solution

The fourth proportional to 65,108.24, 89,864.03 and 38,259.37 is: 52,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108.24 : 89,864.03 = 38,259.37 : x
  2. Step 2: Convert to fraction form
    65,108.24/89,864.03 = 38,259.37/x
  3. Step 3: Cross multiply
    65,108.24x = 89,864.03 × 38,259.37
  4. Step 4: Simplify right side
    65,108.24x = 3,438,141,381.44
  5. Step 5: Solve for x
    x = 3,438,141,381.44/65,108.24
  6. Step 6: Final answer
    x = 52,806.55

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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.