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Finding the Fourth Proportional to 106,518.96, 159,737.04 and 35,419.68

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Solution

The fourth proportional to 106,518.96, 159,737.04 and 35,419.68 is: 53,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,518.96 : 159,737.04 = 35,419.68 : x
  2. Step 2: Convert to fraction form
    106,518.96/159,737.04 = 35,419.68/x
  3. Step 3: Cross multiply
    106,518.96x = 159,737.04 × 35,419.68
  4. Step 4: Simplify right side
    106,518.96x = 5,657,834,840.95
  5. Step 5: Solve for x
    x = 5,657,834,840.95/106,518.96
  6. Step 6: Final answer
    x = 53,115.75

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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.