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Finding the Fourth Proportional to 51,803.01, 77,700.74 and 29,546.64

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Solution

The fourth proportional to 51,803.01, 77,700.74 and 29,546.64 is: 44,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803.01 : 77,700.74 = 29,546.64 : x
  2. Step 2: Convert to fraction form
    51,803.01/77,700.74 = 29,546.64/x
  3. Step 3: Cross multiply
    51,803.01x = 77,700.74 × 29,546.64
  4. Step 4: Simplify right side
    51,803.01x = 2,295,795,644.78
  5. Step 5: Solve for x
    x = 2,295,795,644.78/51,803.01
  6. Step 6: Final answer
    x = 44,317.80

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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.