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Finding the Fourth Proportional to 42,202.92, 58,238.28 and 24,299.76

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Solution

The fourth proportional to 42,202.92, 58,238.28 and 24,299.76 is: 33,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,202.92 : 58,238.28 = 24,299.76 : x
  2. Step 2: Convert to fraction form
    42,202.92/58,238.28 = 24,299.76/x
  3. Step 3: Cross multiply
    42,202.92x = 58,238.28 × 24,299.76
  4. Step 4: Simplify right side
    42,202.92x = 1,415,176,226.81
  5. Step 5: Solve for x
    x = 1,415,176,226.81/42,202.92
  6. Step 6: Final answer
    x = 33,532.66

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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.