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Finding the Fourth Proportional to 101,738.88, 152,607.84 and 31,618.08

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Solution

The fourth proportional to 101,738.88, 152,607.84 and 31,618.08 is: 47,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738.88 : 152,607.84 = 31,618.08 : x
  2. Step 2: Convert to fraction form
    101,738.88/152,607.84 = 31,618.08/x
  3. Step 3: Cross multiply
    101,738.88x = 152,607.84 × 31,618.08
  4. Step 4: Simplify right side
    101,738.88x = 4,825,166,893.75
  5. Step 5: Solve for x
    x = 4,825,166,893.75/101,738.88
  6. Step 6: Final answer
    x = 47,426.97

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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.