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Finding the Fourth Proportional to 69,827.64, 96,345.74 and 39,606

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Solution

The fourth proportional to 69,827.64, 96,345.74 and 39,606 is: 54,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,827.64 : 96,345.74 = 39,606 : x
  2. Step 2: Convert to fraction form
    69,827.64/96,345.74 = 39,606/x
  3. Step 3: Cross multiply
    69,827.64x = 96,345.74 × 39,606
  4. Step 4: Simplify right side
    69,827.64x = 3,815,869,378.44
  5. Step 5: Solve for x
    x = 3,815,869,378.44/69,827.64
  6. Step 6: Final answer
    x = 54,646.98

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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.