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Finding the Fourth Proportional to 69,822.50, 96,361.53 and 40,014.50

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Solution

The fourth proportional to 69,822.50, 96,361.53 and 40,014.50 is: 55,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,822.50 : 96,361.53 = 40,014.50 : x
  2. Step 2: Convert to fraction form
    69,822.50/96,361.53 = 40,014.50/x
  3. Step 3: Cross multiply
    69,822.50x = 96,361.53 × 40,014.50
  4. Step 4: Simplify right side
    69,822.50x = 3,855,858,442.19
  5. Step 5: Solve for x
    x = 3,855,858,442.19/69,822.50
  6. Step 6: Final answer
    x = 55,223.72

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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.