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Finding the Fourth Proportional to 106,656.84, 159,990.12 and 27,779.04

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Solution

The fourth proportional to 106,656.84, 159,990.12 and 27,779.04 is: 41,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,656.84 : 159,990.12 = 27,779.04 : x
  2. Step 2: Convert to fraction form
    106,656.84/159,990.12 = 27,779.04/x
  3. Step 3: Cross multiply
    106,656.84x = 159,990.12 × 27,779.04
  4. Step 4: Simplify right side
    106,656.84x = 4,444,371,943.08
  5. Step 5: Solve for x
    x = 4,444,371,943.08/106,656.84
  6. Step 6: Final answer
    x = 41,669.83

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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.