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Finding the Fourth Proportional to 106,053.65, 159,042.20 and 31,153.76

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Solution

The fourth proportional to 106,053.65, 159,042.20 and 31,153.76 is: 46,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.65 : 159,042.20 = 31,153.76 : x
  2. Step 2: Convert to fraction form
    106,053.65/159,042.20 = 31,153.76/x
  3. Step 3: Cross multiply
    106,053.65x = 159,042.20 × 31,153.76
  4. Step 4: Simplify right side
    106,053.65x = 4,954,761,577.69
  5. Step 5: Solve for x
    x = 4,954,761,577.69/106,053.65
  6. Step 6: Final answer
    x = 46,719.39

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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.