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Finding the Fourth Proportional to 125,230, 187,855.94 and 31,735.76

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Solution

The fourth proportional to 125,230, 187,855.94 and 31,735.76 is: 47,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,230 : 187,855.94 = 31,735.76 : x
  2. Step 2: Convert to fraction form
    125,230/187,855.94 = 31,735.76/x
  3. Step 3: Cross multiply
    125,230x = 187,855.94 × 31,735.76
  4. Step 4: Simplify right side
    125,230x = 5,961,751,026.41
  5. Step 5: Solve for x
    x = 5,961,751,026.41/125,230
  6. Step 6: Final answer
    x = 47,606.41

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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.