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Finding the Fourth Proportional to 33,154.36, 49,731.76 and 9,461.84

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Solution

The fourth proportional to 33,154.36, 49,731.76 and 9,461.84 is: 14,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.36 : 49,731.76 = 9,461.84 : x
  2. Step 2: Convert to fraction form
    33,154.36/49,731.76 = 9,461.84/x
  3. Step 3: Cross multiply
    33,154.36x = 49,731.76 × 9,461.84
  4. Step 4: Simplify right side
    33,154.36x = 470,553,956.04
  5. Step 5: Solve for x
    x = 470,553,956.04/33,154.36
  6. Step 6: Final answer
    x = 14,192.82

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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.