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Finding the Fourth Proportional to 50,497.83, 69,686.63 and 27,836.87

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Solution

The fourth proportional to 50,497.83, 69,686.63 and 27,836.87 is: 38,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,497.83 : 69,686.63 = 27,836.87 : x
  2. Step 2: Convert to fraction form
    50,497.83/69,686.63 = 27,836.87/x
  3. Step 3: Cross multiply
    50,497.83x = 69,686.63 × 27,836.87
  4. Step 4: Simplify right side
    50,497.83x = 1,939,857,276.82
  5. Step 5: Solve for x
    x = 1,939,857,276.82/50,497.83
  6. Step 6: Final answer
    x = 38,414.67

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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.