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Finding the Fourth Proportional to 106,638.71, 159,941.66 and 35,562.59

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Solution

The fourth proportional to 106,638.71, 159,941.66 and 35,562.59 is: 53,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638.71 : 159,941.66 = 35,562.59 : x
  2. Step 2: Convert to fraction form
    106,638.71/159,941.66 = 35,562.59/x
  3. Step 3: Cross multiply
    106,638.71x = 159,941.66 × 35,562.59
  4. Step 4: Simplify right side
    106,638.71x = 5,687,938,700.98
  5. Step 5: Solve for x
    x = 5,687,938,700.98/106,638.71
  6. Step 6: Final answer
    x = 53,338.41

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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.