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Finding the Fourth Proportional to 112,051, 168,105.30 and 38,179

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Solution

The fourth proportional to 112,051, 168,105.30 and 38,179 is: 57,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,051 : 168,105.30 = 38,179 : x
  2. Step 2: Convert to fraction form
    112,051/168,105.30 = 38,179/x
  3. Step 3: Cross multiply
    112,051x = 168,105.30 × 38,179
  4. Step 4: Simplify right side
    112,051x = 6,418,092,248.70
  5. Step 5: Solve for x
    x = 6,418,092,248.70/112,051
  6. Step 6: Final answer
    x = 57,278.31

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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.