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Finding the Fourth Proportional to 101,736.56, 152,604.84 and 31,615.88

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Solution

The fourth proportional to 101,736.56, 152,604.84 and 31,615.88 is: 47,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,736.56 : 152,604.84 = 31,615.88 : x
  2. Step 2: Convert to fraction form
    101,736.56/152,604.84 = 31,615.88/x
  3. Step 3: Cross multiply
    101,736.56x = 152,604.84 × 31,615.88
  4. Step 4: Simplify right side
    101,736.56x = 4,824,736,308.86
  5. Step 5: Solve for x
    x = 4,824,736,308.86/101,736.56
  6. Step 6: Final answer
    x = 47,423.82

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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.