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Finding the Fourth Proportional to 69,096, 95,364 and 52,299.84

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Solution

The fourth proportional to 69,096, 95,364 and 52,299.84 is: 72,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,096 : 95,364 = 52,299.84 : x
  2. Step 2: Convert to fraction form
    69,096/95,364 = 52,299.84/x
  3. Step 3: Cross multiply
    69,096x = 95,364 × 52,299.84
  4. Step 4: Simplify right side
    69,096x = 4,987,521,941.76
  5. Step 5: Solve for x
    x = 4,987,521,941.76/69,096
  6. Step 6: Final answer
    x = 72,182.50

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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.