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Finding the Fourth Proportional to 101,494.98, 152,257.04 and 31,379.76

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Solution

The fourth proportional to 101,494.98, 152,257.04 and 31,379.76 is: 47,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,494.98 : 152,257.04 = 31,379.76 : x
  2. Step 2: Convert to fraction form
    101,494.98/152,257.04 = 31,379.76/x
  3. Step 3: Cross multiply
    101,494.98x = 152,257.04 × 31,379.76
  4. Step 4: Simplify right side
    101,494.98x = 4,777,789,373.51
  5. Step 5: Solve for x
    x = 4,777,789,373.51/101,494.98
  6. Step 6: Final answer
    x = 47,074.14

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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.