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Finding the Fourth Proportional to 106,103.87, 159,166.21 and 38,654.24

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Solution

The fourth proportional to 106,103.87, 159,166.21 and 38,654.24 is: 57,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,103.87 : 159,166.21 = 38,654.24 : x
  2. Step 2: Convert to fraction form
    106,103.87/159,166.21 = 38,654.24/x
  3. Step 3: Cross multiply
    106,103.87x = 159,166.21 × 38,654.24
  4. Step 4: Simplify right side
    106,103.87x = 6,152,448,881.23
  5. Step 5: Solve for x
    x = 6,152,448,881.23/106,103.87
  6. Step 6: Final answer
    x = 57,985.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.