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Finding the Fourth Proportional to 101,951.61, 152,927.40 and 31,836.93

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Solution

The fourth proportional to 101,951.61, 152,927.40 and 31,836.93 is: 47,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,951.61 : 152,927.40 = 31,836.93 : x
  2. Step 2: Convert to fraction form
    101,951.61/152,927.40 = 31,836.93/x
  3. Step 3: Cross multiply
    101,951.61x = 152,927.40 × 31,836.93
  4. Step 4: Simplify right side
    101,951.61x = 4,868,738,928.88
  5. Step 5: Solve for x
    x = 4,868,738,928.88/101,951.61
  6. Step 6: Final answer
    x = 47,755.39

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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.