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Finding the Fourth Proportional to 69,415.20, 95,792.40 and 37,584

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Solution

The fourth proportional to 69,415.20, 95,792.40 and 37,584 is: 51,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,415.20 : 95,792.40 = 37,584 : x
  2. Step 2: Convert to fraction form
    69,415.20/95,792.40 = 37,584/x
  3. Step 3: Cross multiply
    69,415.20x = 95,792.40 × 37,584
  4. Step 4: Simplify right side
    69,415.20x = 3,600,261,561.60
  5. Step 5: Solve for x
    x = 3,600,261,561.60/69,415.20
  6. Step 6: Final answer
    x = 51,865.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.