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Finding the Fourth Proportional to 51,997.83, 77,990.72 and 14,560.90

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Solution

The fourth proportional to 51,997.83, 77,990.72 and 14,560.90 is: 21,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,997.83 : 77,990.72 = 14,560.90 : x
  2. Step 2: Convert to fraction form
    51,997.83/77,990.72 = 14,560.90/x
  3. Step 3: Cross multiply
    51,997.83x = 77,990.72 × 14,560.90
  4. Step 4: Simplify right side
    51,997.83x = 1,135,614,807.07
  5. Step 5: Solve for x
    x = 1,135,614,807.07/51,997.83
  6. Step 6: Final answer
    x = 21,839.66

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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.