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Finding the Fourth Proportional to 50,796.84, 70,098.87 and 27,826.47

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Solution

The fourth proportional to 50,796.84, 70,098.87 and 27,826.47 is: 38,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,796.84 : 70,098.87 = 27,826.47 : x
  2. Step 2: Convert to fraction form
    50,796.84/70,098.87 = 27,826.47/x
  3. Step 3: Cross multiply
    50,796.84x = 70,098.87 × 27,826.47
  4. Step 4: Simplify right side
    50,796.84x = 1,950,604,261.61
  5. Step 5: Solve for x
    x = 1,950,604,261.61/50,796.84
  6. Step 6: Final answer
    x = 38,400.11

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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.