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Finding the Fourth Proportional to 69,188, 103,512.16 and 52,596

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Solution

The fourth proportional to 69,188, 103,512.16 and 52,596 is: 78,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,188 : 103,512.16 = 52,596 : x
  2. Step 2: Convert to fraction form
    69,188/103,512.16 = 52,596/x
  3. Step 3: Cross multiply
    69,188x = 103,512.16 × 52,596
  4. Step 4: Simplify right side
    69,188x = 5,444,325,567.36
  5. Step 5: Solve for x
    x = 5,444,325,567.36/69,188
  6. Step 6: Final answer
    x = 78,688.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.