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Finding the Fourth Proportional to 65,015.28, 89,721.04 and 35,207.28

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Solution

The fourth proportional to 65,015.28, 89,721.04 and 35,207.28 is: 48,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,015.28 : 89,721.04 = 35,207.28 : x
  2. Step 2: Convert to fraction form
    65,015.28/89,721.04 = 35,207.28/x
  3. Step 3: Cross multiply
    65,015.28x = 89,721.04 × 35,207.28
  4. Step 4: Simplify right side
    65,015.28x = 3,158,833,777.17
  5. Step 5: Solve for x
    x = 3,158,833,777.17/65,015.28
  6. Step 6: Final answer
    x = 48,586.02

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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.