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Finding the Fourth Proportional to 65,493.75, 90,381.38 and 35,685.75

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Solution

The fourth proportional to 65,493.75, 90,381.38 and 35,685.75 is: 49,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,493.75 : 90,381.38 = 35,685.75 : x
  2. Step 2: Convert to fraction form
    65,493.75/90,381.38 = 35,685.75/x
  3. Step 3: Cross multiply
    65,493.75x = 90,381.38 × 35,685.75
  4. Step 4: Simplify right side
    65,493.75x = 3,225,327,152.91
  5. Step 5: Solve for x
    x = 3,225,327,152.91/65,493.75
  6. Step 6: Final answer
    x = 49,246.34

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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.