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Finding the Fourth Proportional to 33,656.61, 50,484.99 and 9,964.56

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Solution

The fourth proportional to 33,656.61, 50,484.99 and 9,964.56 is: 14,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656.61 : 50,484.99 = 9,964.56 : x
  2. Step 2: Convert to fraction form
    33,656.61/50,484.99 = 9,964.56/x
  3. Step 3: Cross multiply
    33,656.61x = 50,484.99 × 9,964.56
  4. Step 4: Simplify right side
    33,656.61x = 503,060,711.95
  5. Step 5: Solve for x
    x = 503,060,711.95/33,656.61
  6. Step 6: Final answer
    x = 14,946.86

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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.