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Finding the Fourth Proportional to 101,493.20, 152,225.40 and 31,379.60

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Solution

The fourth proportional to 101,493.20, 152,225.40 and 31,379.60 is: 47,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,493.20 : 152,225.40 = 31,379.60 : x
  2. Step 2: Convert to fraction form
    101,493.20/152,225.40 = 31,379.60/x
  3. Step 3: Cross multiply
    101,493.20x = 152,225.40 × 31,379.60
  4. Step 4: Simplify right side
    101,493.20x = 4,776,772,161.84
  5. Step 5: Solve for x
    x = 4,776,772,161.84/101,493.20
  6. Step 6: Final answer
    x = 47,064.95

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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.