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Finding the Fourth Proportional to 33,029.84, 49,543.04 and 10,840.30

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Solution

The fourth proportional to 33,029.84, 49,543.04 and 10,840.30 is: 16,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,029.84 : 49,543.04 = 10,840.30 : x
  2. Step 2: Convert to fraction form
    33,029.84/49,543.04 = 10,840.30/x
  3. Step 3: Cross multiply
    33,029.84x = 49,543.04 × 10,840.30
  4. Step 4: Simplify right side
    33,029.84x = 537,061,319.76
  5. Step 5: Solve for x
    x = 537,061,319.76/33,029.84
  6. Step 6: Final answer
    x = 16,259.88

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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.