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Finding the Fourth Proportional to 42,171, 58,205.68 and 24,276.38

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Solution

The fourth proportional to 42,171, 58,205.68 and 24,276.38 is: 33,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,171 : 58,205.68 = 24,276.38 : x
  2. Step 2: Convert to fraction form
    42,171/58,205.68 = 24,276.38/x
  3. Step 3: Cross multiply
    42,171x = 58,205.68 × 24,276.38
  4. Step 4: Simplify right side
    42,171x = 1,413,023,205.84
  5. Step 5: Solve for x
    x = 1,413,023,205.84/42,171
  6. Step 6: Final answer
    x = 33,506.99

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Why These Related Problems?

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