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Finding the Fourth Proportional to 68,779.09, 103,164.36 and 24,400

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Solution

The fourth proportional to 68,779.09, 103,164.36 and 24,400 is: 36,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,779.09 : 103,164.36 = 24,400 : x
  2. Step 2: Convert to fraction form
    68,779.09/103,164.36 = 24,400/x
  3. Step 3: Cross multiply
    68,779.09x = 103,164.36 × 24,400
  4. Step 4: Simplify right side
    68,779.09x = 2,517,210,384
  5. Step 5: Solve for x
    x = 2,517,210,384/68,779.09
  6. Step 6: Final answer
    x = 36,598.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.