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Finding the Fourth Proportional to 101,793.84, 152,690.76 and 31,659.18

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Solution

The fourth proportional to 101,793.84, 152,690.76 and 31,659.18 is: 47,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,793.84 : 152,690.76 = 31,659.18 : x
  2. Step 2: Convert to fraction form
    101,793.84/152,690.76 = 31,659.18/x
  3. Step 3: Cross multiply
    101,793.84x = 152,690.76 × 31,659.18
  4. Step 4: Simplify right side
    101,793.84x = 4,834,064,255.18
  5. Step 5: Solve for x
    x = 4,834,064,255.18/101,793.84
  6. Step 6: Final answer
    x = 47,488.77

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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.