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Finding the Fourth Proportional to 106,045.62, 159,069.69 and 27,157.74

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Solution

The fourth proportional to 106,045.62, 159,069.69 and 27,157.74 is: 40,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,045.62 : 159,069.69 = 27,157.74 : x
  2. Step 2: Convert to fraction form
    106,045.62/159,069.69 = 27,157.74/x
  3. Step 3: Cross multiply
    106,045.62x = 159,069.69 × 27,157.74
  4. Step 4: Simplify right side
    106,045.62x = 4,319,973,282.90
  5. Step 5: Solve for x
    x = 4,319,973,282.90/106,045.62
  6. Step 6: Final answer
    x = 40,736.93

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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.