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Finding the Fourth Proportional to 31,578.47, 47,342.54 and 18,236.32

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Solution

The fourth proportional to 31,578.47, 47,342.54 and 18,236.32 is: 27,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.47 : 47,342.54 = 18,236.32 : x
  2. Step 2: Convert to fraction form
    31,578.47/47,342.54 = 18,236.32/x
  3. Step 3: Cross multiply
    31,578.47x = 47,342.54 × 18,236.32
  4. Step 4: Simplify right side
    31,578.47x = 863,353,636.29
  5. Step 5: Solve for x
    x = 863,353,636.29/31,578.47
  6. Step 6: Final answer
    x = 27,339.95

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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.