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Finding the Fourth Proportional to 34,001.64, 51,016.50 and 15,268.68

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Solution

The fourth proportional to 34,001.64, 51,016.50 and 15,268.68 is: 22,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,001.64 : 51,016.50 = 15,268.68 : x
  2. Step 2: Convert to fraction form
    34,001.64/51,016.50 = 15,268.68/x
  3. Step 3: Cross multiply
    34,001.64x = 51,016.50 × 15,268.68
  4. Step 4: Simplify right side
    34,001.64x = 778,954,613.22
  5. Step 5: Solve for x
    x = 778,954,613.22/34,001.64
  6. Step 6: Final answer
    x = 22,909.32

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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.