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Finding the Fourth Proportional to 50,428.84, 69,600.24 and 29,221

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Solution

The fourth proportional to 50,428.84, 69,600.24 and 29,221 is: 40,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,428.84 : 69,600.24 = 29,221 : x
  2. Step 2: Convert to fraction form
    50,428.84/69,600.24 = 29,221/x
  3. Step 3: Cross multiply
    50,428.84x = 69,600.24 × 29,221
  4. Step 4: Simplify right side
    50,428.84x = 2,033,788,613.04
  5. Step 5: Solve for x
    x = 2,033,788,613.04/50,428.84
  6. Step 6: Final answer
    x = 40,329.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.