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Finding the Fourth Proportional to 51,993.19, 77,965.08 and 27,008.20

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Solution

The fourth proportional to 51,993.19, 77,965.08 and 27,008.20 is: 40,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,993.19 : 77,965.08 = 27,008.20 : x
  2. Step 2: Convert to fraction form
    51,993.19/77,965.08 = 27,008.20/x
  3. Step 3: Cross multiply
    51,993.19x = 77,965.08 × 27,008.20
  4. Step 4: Simplify right side
    51,993.19x = 2,105,696,473.66
  5. Step 5: Solve for x
    x = 2,105,696,473.66/51,993.19
  6. Step 6: Final answer
    x = 40,499.47

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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.