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Finding the Fourth Proportional to 33,302.77, 49,978.80 and 15,772.65

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Solution

The fourth proportional to 33,302.77, 49,978.80 and 15,772.65 is: 23,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.77 : 49,978.80 = 15,772.65 : x
  2. Step 2: Convert to fraction form
    33,302.77/49,978.80 = 15,772.65/x
  3. Step 3: Cross multiply
    33,302.77x = 49,978.80 × 15,772.65
  4. Step 4: Simplify right side
    33,302.77x = 788,297,991.55
  5. Step 5: Solve for x
    x = 788,297,991.55/33,302.77
  6. Step 6: Final answer
    x = 23,670.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.