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Finding the Fourth Proportional to 69,638.74, 96,100.92 and 37,807

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Solution

The fourth proportional to 69,638.74, 96,100.92 and 37,807 is: 52,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,638.74 : 96,100.92 = 37,807 : x
  2. Step 2: Convert to fraction form
    69,638.74/96,100.92 = 37,807/x
  3. Step 3: Cross multiply
    69,638.74x = 96,100.92 × 37,807
  4. Step 4: Simplify right side
    69,638.74x = 3,633,287,482.44
  5. Step 5: Solve for x
    x = 3,633,287,482.44/69,638.74
  6. Step 6: Final answer
    x = 52,173.37

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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.