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Finding the Fourth Proportional to 35,658.46, 49,202.12 and 20,549

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Solution

The fourth proportional to 35,658.46, 49,202.12 and 20,549 is: 28,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658.46 : 49,202.12 = 20,549 : x
  2. Step 2: Convert to fraction form
    35,658.46/49,202.12 = 20,549/x
  3. Step 3: Cross multiply
    35,658.46x = 49,202.12 × 20,549
  4. Step 4: Simplify right side
    35,658.46x = 1,011,054,363.88
  5. Step 5: Solve for x
    x = 1,011,054,363.88/35,658.46
  6. Step 6: Final answer
    x = 28,353.84

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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.