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Finding the Fourth Proportional to 70,632.50, 97,481.50 and 40,824.50

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Solution

The fourth proportional to 70,632.50, 97,481.50 and 40,824.50 is: 56,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,632.50 : 97,481.50 = 40,824.50 : x
  2. Step 2: Convert to fraction form
    70,632.50/97,481.50 = 40,824.50/x
  3. Step 3: Cross multiply
    70,632.50x = 97,481.50 × 40,824.50
  4. Step 4: Simplify right side
    70,632.50x = 3,979,633,496.75
  5. Step 5: Solve for x
    x = 3,979,633,496.75/70,632.50
  6. Step 6: Final answer
    x = 56,342.81

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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.