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Finding the Fourth Proportional to 33,236.64, 49,854.96 and 26,316

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Solution

The fourth proportional to 33,236.64, 49,854.96 and 26,316 is: 39,474

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,236.64 : 49,854.96 = 26,316 : x
  2. Step 2: Convert to fraction form
    33,236.64/49,854.96 = 26,316/x
  3. Step 3: Cross multiply
    33,236.64x = 49,854.96 × 26,316
  4. Step 4: Simplify right side
    33,236.64x = 1,311,983,127.36
  5. Step 5: Solve for x
    x = 1,311,983,127.36/33,236.64
  6. Step 6: Final answer
    x = 39,474

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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.