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Finding the Fourth Proportional to 30,891.80, 46,337.70 and 8,705.90

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Solution

The fourth proportional to 30,891.80, 46,337.70 and 8,705.90 is: 13,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.80 : 46,337.70 = 8,705.90 : x
  2. Step 2: Convert to fraction form
    30,891.80/46,337.70 = 8,705.90/x
  3. Step 3: Cross multiply
    30,891.80x = 46,337.70 × 8,705.90
  4. Step 4: Simplify right side
    30,891.80x = 403,411,382.43
  5. Step 5: Solve for x
    x = 403,411,382.43/30,891.80
  6. Step 6: Final answer
    x = 13,058.85

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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.