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Finding the Fourth Proportional to 31,589.86, 43,594.02 and 17,442.82

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Solution

The fourth proportional to 31,589.86, 43,594.02 and 17,442.82 is: 24,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.86 : 43,594.02 = 17,442.82 : x
  2. Step 2: Convert to fraction form
    31,589.86/43,594.02 = 17,442.82/x
  3. Step 3: Cross multiply
    31,589.86x = 43,594.02 × 17,442.82
  4. Step 4: Simplify right side
    31,589.86x = 760,402,643.94
  5. Step 5: Solve for x
    x = 760,402,643.94/31,589.86
  6. Step 6: Final answer
    x = 24,071.10

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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.