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Finding the Fourth Proportional to 112,822.49, 169,244.98 and 41,764.14

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Solution

The fourth proportional to 112,822.49, 169,244.98 and 41,764.14 is: 62,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,822.49 : 169,244.98 = 41,764.14 : x
  2. Step 2: Convert to fraction form
    112,822.49/169,244.98 = 41,764.14/x
  3. Step 3: Cross multiply
    112,822.49x = 169,244.98 × 41,764.14
  4. Step 4: Simplify right side
    112,822.49x = 7,068,370,934.61
  5. Step 5: Solve for x
    x = 7,068,370,934.61/112,822.49
  6. Step 6: Final answer
    x = 62,650.37

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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.