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Finding the Fourth Proportional to 31,002.92, 46,476.04 and 13,466.44

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Solution

The fourth proportional to 31,002.92, 46,476.04 and 13,466.44 is: 20,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.92 : 46,476.04 = 13,466.44 : x
  2. Step 2: Convert to fraction form
    31,002.92/46,476.04 = 13,466.44/x
  3. Step 3: Cross multiply
    31,002.92x = 46,476.04 × 13,466.44
  4. Step 4: Simplify right side
    31,002.92x = 625,866,804.10
  5. Step 5: Solve for x
    x = 625,866,804.10/31,002.92
  6. Step 6: Final answer
    x = 20,187.35

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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.