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Finding the Fourth Proportional to 31,017.25, 46,518.88 and 8,830.13

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Solution

The fourth proportional to 31,017.25, 46,518.88 and 8,830.13 is: 13,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.25 : 46,518.88 = 8,830.13 : x
  2. Step 2: Convert to fraction form
    31,017.25/46,518.88 = 8,830.13/x
  3. Step 3: Cross multiply
    31,017.25x = 46,518.88 × 8,830.13
  4. Step 4: Simplify right side
    31,017.25x = 410,767,757.85
  5. Step 5: Solve for x
    x = 410,767,757.85/31,017.25
  6. Step 6: Final answer
    x = 13,243.20

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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.