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Finding the Fourth Proportional to 33,011.64, 49,486.74 and 12,219

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Solution

The fourth proportional to 33,011.64, 49,486.74 and 12,219 is: 18,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011.64 : 49,486.74 = 12,219 : x
  2. Step 2: Convert to fraction form
    33,011.64/49,486.74 = 12,219/x
  3. Step 3: Cross multiply
    33,011.64x = 49,486.74 × 12,219
  4. Step 4: Simplify right side
    33,011.64x = 604,678,476.06
  5. Step 5: Solve for x
    x = 604,678,476.06/33,011.64
  6. Step 6: Final answer
    x = 18,317.13

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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.