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Finding the Fourth Proportional to 31,578.16, 43,578 and 17,431.12

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Solution

The fourth proportional to 31,578.16, 43,578 and 17,431.12 is: 24,055.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.16 : 43,578 = 17,431.12 : x
  2. Step 2: Convert to fraction form
    31,578.16/43,578 = 17,431.12/x
  3. Step 3: Cross multiply
    31,578.16x = 43,578 × 17,431.12
  4. Step 4: Simplify right side
    31,578.16x = 759,613,347.36
  5. Step 5: Solve for x
    x = 759,613,347.36/31,578.16
  6. Step 6: Final answer
    x = 24,055.02

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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.