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Finding the Fourth Proportional to 33,008.64, 49,482.24 and 12,216

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Solution

The fourth proportional to 33,008.64, 49,482.24 and 12,216 is: 18,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,008.64 : 49,482.24 = 12,216 : x
  2. Step 2: Convert to fraction form
    33,008.64/49,482.24 = 12,216/x
  3. Step 3: Cross multiply
    33,008.64x = 49,482.24 × 12,216
  4. Step 4: Simplify right side
    33,008.64x = 604,475,043.84
  5. Step 5: Solve for x
    x = 604,475,043.84/33,008.64
  6. Step 6: Final answer
    x = 18,312.63

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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.