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Finding the Fourth Proportional to 92,201.46, 138,214.71 and 33,006.66

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Solution

The fourth proportional to 92,201.46, 138,214.71 and 33,006.66 is: 49,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,201.46 : 138,214.71 = 33,006.66 : x
  2. Step 2: Convert to fraction form
    92,201.46/138,214.71 = 33,006.66/x
  3. Step 3: Cross multiply
    92,201.46x = 138,214.71 × 33,006.66
  4. Step 4: Simplify right side
    92,201.46x = 4,562,005,939.97
  5. Step 5: Solve for x
    x = 4,562,005,939.97/92,201.46
  6. Step 6: Final answer
    x = 49,478.67

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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.