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Finding the Fourth Proportional to 30,859.32, 46,290.66 and 9,801

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Solution

The fourth proportional to 30,859.32, 46,290.66 and 9,801 is: 14,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.32 : 46,290.66 = 9,801 : x
  2. Step 2: Convert to fraction form
    30,859.32/46,290.66 = 9,801/x
  3. Step 3: Cross multiply
    30,859.32x = 46,290.66 × 9,801
  4. Step 4: Simplify right side
    30,859.32x = 453,694,758.66
  5. Step 5: Solve for x
    x = 453,694,758.66/30,859.32
  6. Step 6: Final answer
    x = 14,702.03

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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.