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Finding the Fourth Proportional to 34,468.39, 47,584.51 and 23,197.13

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Solution

The fourth proportional to 34,468.39, 47,584.51 and 23,197.13 is: 32,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,468.39 : 47,584.51 = 23,197.13 : x
  2. Step 2: Convert to fraction form
    34,468.39/47,584.51 = 23,197.13/x
  3. Step 3: Cross multiply
    34,468.39x = 47,584.51 × 23,197.13
  4. Step 4: Simplify right side
    34,468.39x = 1,103,824,345.13
  5. Step 5: Solve for x
    x = 1,103,824,345.13/34,468.39
  6. Step 6: Final answer
    x = 32,024.25

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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.