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Finding the Fourth Proportional to 69,827.30, 96,419.74 and 64,762

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Solution

The fourth proportional to 69,827.30, 96,419.74 and 64,762 is: 89,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,827.30 : 96,419.74 = 64,762 : x
  2. Step 2: Convert to fraction form
    69,827.30/96,419.74 = 64,762/x
  3. Step 3: Cross multiply
    69,827.30x = 96,419.74 × 64,762
  4. Step 4: Simplify right side
    69,827.30x = 6,244,335,201.88
  5. Step 5: Solve for x
    x = 6,244,335,201.88/69,827.30
  6. Step 6: Final answer
    x = 89,425.41

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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.