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Finding the Fourth Proportional to 125,227.50, 187,852.19 and 31,733.25

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Solution

The fourth proportional to 125,227.50, 187,852.19 and 31,733.25 is: 47,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,227.50 : 187,852.19 = 31,733.25 : x
  2. Step 2: Convert to fraction form
    125,227.50/187,852.19 = 31,733.25/x
  3. Step 3: Cross multiply
    125,227.50x = 187,852.19 × 31,733.25
  4. Step 4: Simplify right side
    125,227.50x = 5,961,160,349.65
  5. Step 5: Solve for x
    x = 5,961,160,349.65/125,227.50
  6. Step 6: Final answer
    x = 47,602.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.