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Finding the Fourth Proportional to 33,031.61, 49,549.08 and 9,340.85

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Solution

The fourth proportional to 33,031.61, 49,549.08 and 9,340.85 is: 14,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.61 : 49,549.08 = 9,340.85 : x
  2. Step 2: Convert to fraction form
    33,031.61/49,549.08 = 9,340.85/x
  3. Step 3: Cross multiply
    33,031.61x = 49,549.08 × 9,340.85
  4. Step 4: Simplify right side
    33,031.61x = 462,830,523.92
  5. Step 5: Solve for x
    x = 462,830,523.92/33,031.61
  6. Step 6: Final answer
    x = 14,011.75

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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.