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Finding the Fourth Proportional to 31,071.88, 46,568.92 and 24,472

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Solution

The fourth proportional to 31,071.88, 46,568.92 and 24,472 is: 36,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.88 : 46,568.92 = 24,472 : x
  2. Step 2: Convert to fraction form
    31,071.88/46,568.92 = 24,472/x
  3. Step 3: Cross multiply
    31,071.88x = 46,568.92 × 24,472
  4. Step 4: Simplify right side
    31,071.88x = 1,139,634,610.24
  5. Step 5: Solve for x
    x = 1,139,634,610.24/31,071.88
  6. Step 6: Final answer
    x = 36,677.36

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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.