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Finding the Fourth Proportional to 31,175.70, 46,763.82 and 8,989.13

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Solution

The fourth proportional to 31,175.70, 46,763.82 and 8,989.13 is: 13,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.70 : 46,763.82 = 8,989.13 : x
  2. Step 2: Convert to fraction form
    31,175.70/46,763.82 = 8,989.13/x
  3. Step 3: Cross multiply
    31,175.70x = 46,763.82 × 8,989.13
  4. Step 4: Simplify right side
    31,175.70x = 420,365,823.46
  5. Step 5: Solve for x
    x = 420,365,823.46/31,175.70
  6. Step 6: Final answer
    x = 13,483.77

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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.