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Finding the Fourth Proportional to 30,891.57, 46,337.35 and 8,702.06

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Solution

The fourth proportional to 30,891.57, 46,337.35 and 8,702.06 is: 13,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.57 : 46,337.35 = 8,702.06 : x
  2. Step 2: Convert to fraction form
    30,891.57/46,337.35 = 8,702.06/x
  3. Step 3: Cross multiply
    30,891.57x = 46,337.35 × 8,702.06
  4. Step 4: Simplify right side
    30,891.57x = 403,230,399.94
  5. Step 5: Solve for x
    x = 403,230,399.94/30,891.57
  6. Step 6: Final answer
    x = 13,053.09

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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.