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Finding the Fourth Proportional to 65,742.05, 90,724.02 and 35,527.38

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Solution

The fourth proportional to 65,742.05, 90,724.02 and 35,527.38 is: 49,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742.05 : 90,724.02 = 35,527.38 : x
  2. Step 2: Convert to fraction form
    65,742.05/90,724.02 = 35,527.38/x
  3. Step 3: Cross multiply
    65,742.05x = 90,724.02 × 35,527.38
  4. Step 4: Simplify right side
    65,742.05x = 3,223,186,733.67
  5. Step 5: Solve for x
    x = 3,223,186,733.67/65,742.05
  6. Step 6: Final answer
    x = 49,027.78

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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.