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Finding the Fourth Proportional to 101,642.11, 152,602.83 and 51,755.74

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Solution

The fourth proportional to 101,642.11, 152,602.83 and 51,755.74 is: 77,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,642.11 : 152,602.83 = 51,755.74 : x
  2. Step 2: Convert to fraction form
    101,642.11/152,602.83 = 51,755.74/x
  3. Step 3: Cross multiply
    101,642.11x = 152,602.83 × 51,755.74
  4. Step 4: Simplify right side
    101,642.11x = 7,898,072,392.74
  5. Step 5: Solve for x
    x = 7,898,072,392.74/101,642.11
  6. Step 6: Final answer
    x = 77,704.73

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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.