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Finding the Fourth Proportional to 84,006.32, 125,962.90 and 33,353.98

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Solution

The fourth proportional to 84,006.32, 125,962.90 and 33,353.98 is: 50,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,006.32 : 125,962.90 = 33,353.98 : x
  2. Step 2: Convert to fraction form
    84,006.32/125,962.90 = 33,353.98/x
  3. Step 3: Cross multiply
    84,006.32x = 125,962.90 × 33,353.98
  4. Step 4: Simplify right side
    84,006.32x = 4,201,363,649.05
  5. Step 5: Solve for x
    x = 4,201,363,649.05/84,006.32
  6. Step 6: Final answer
    x = 50,012.47

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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.