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Finding the Fourth Proportional to 92,203.58, 138,319.96 and 33,037.94

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Solution

The fourth proportional to 92,203.58, 138,319.96 and 33,037.94 is: 49,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,203.58 : 138,319.96 = 33,037.94 : x
  2. Step 2: Convert to fraction form
    92,203.58/138,319.96 = 33,037.94/x
  3. Step 3: Cross multiply
    92,203.58x = 138,319.96 × 33,037.94
  4. Step 4: Simplify right side
    92,203.58x = 4,569,806,539.28
  5. Step 5: Solve for x
    x = 4,569,806,539.28/92,203.58
  6. Step 6: Final answer
    x = 49,562.14

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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.