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Finding the Fourth Proportional to 33,731.84, 50,602.08 and 10,354.16

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Solution

The fourth proportional to 33,731.84, 50,602.08 and 10,354.16 is: 15,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,731.84 : 50,602.08 = 10,354.16 : x
  2. Step 2: Convert to fraction form
    33,731.84/50,602.08 = 10,354.16/x
  3. Step 3: Cross multiply
    33,731.84x = 50,602.08 × 10,354.16
  4. Step 4: Simplify right side
    33,731.84x = 523,942,032.65
  5. Step 5: Solve for x
    x = 523,942,032.65/33,731.84
  6. Step 6: Final answer
    x = 15,532.57

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1.5x scale

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.