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Finding the Fourth Proportional to 101,859.60, 152,803.80 and 31,731.60

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Solution

The fourth proportional to 101,859.60, 152,803.80 and 31,731.60 is: 47,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,859.60 : 152,803.80 = 31,731.60 : x
  2. Step 2: Convert to fraction form
    101,859.60/152,803.80 = 31,731.60/x
  3. Step 3: Cross multiply
    101,859.60x = 152,803.80 × 31,731.60
  4. Step 4: Simplify right side
    101,859.60x = 4,848,709,060.08
  5. Step 5: Solve for x
    x = 4,848,709,060.08/101,859.60
  6. Step 6: Final answer
    x = 47,601.89

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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.