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Finding the Fourth Proportional to 74,059.82, 102,200.02 and 42,238.97

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Solution

The fourth proportional to 74,059.82, 102,200.02 and 42,238.97 is: 58,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,059.82 : 102,200.02 = 42,238.97 : x
  2. Step 2: Convert to fraction form
    74,059.82/102,200.02 = 42,238.97/x
  3. Step 3: Cross multiply
    74,059.82x = 102,200.02 × 42,238.97
  4. Step 4: Simplify right side
    74,059.82x = 4,316,822,856.58
  5. Step 5: Solve for x
    x = 4,316,822,856.58/74,059.82
  6. Step 6: Final answer
    x = 58,288.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.