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Finding the Fourth Proportional to 85,214.76, 127,838.34 and 38,467.50

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Solution

The fourth proportional to 85,214.76, 127,838.34 and 38,467.50 is: 57,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214.76 : 127,838.34 = 38,467.50 : x
  2. Step 2: Convert to fraction form
    85,214.76/127,838.34 = 38,467.50/x
  3. Step 3: Cross multiply
    85,214.76x = 127,838.34 × 38,467.50
  4. Step 4: Simplify right side
    85,214.76x = 4,917,621,343.95
  5. Step 5: Solve for x
    x = 4,917,621,343.95/85,214.76
  6. Step 6: Final answer
    x = 57,708.56

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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.