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Finding the Fourth Proportional to 69,431.20, 95,815.20 and 37,600

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Solution

The fourth proportional to 69,431.20, 95,815.20 and 37,600 is: 51,888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,431.20 : 95,815.20 = 37,600 : x
  2. Step 2: Convert to fraction form
    69,431.20/95,815.20 = 37,600/x
  3. Step 3: Cross multiply
    69,431.20x = 95,815.20 × 37,600
  4. Step 4: Simplify right side
    69,431.20x = 3,602,651,520
  5. Step 5: Solve for x
    x = 3,602,651,520/69,431.20
  6. Step 6: Final answer
    x = 51,888.08

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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.