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Finding the Fourth Proportional to 31,584.62, 43,585.92 and 17,437.16

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Solution

The fourth proportional to 31,584.62, 43,585.92 and 17,437.16 is: 24,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584.62 : 43,585.92 = 17,437.16 : x
  2. Step 2: Convert to fraction form
    31,584.62/43,585.92 = 17,437.16/x
  3. Step 3: Cross multiply
    31,584.62x = 43,585.92 × 17,437.16
  4. Step 4: Simplify right side
    31,584.62x = 760,014,442.86
  5. Step 5: Solve for x
    x = 760,014,442.86/31,584.62
  6. Step 6: Final answer
    x = 24,062.81

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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.