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Finding the Fourth Proportional to 106,492.68, 159,679.08 and 35,377.25

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Solution

The fourth proportional to 106,492.68, 159,679.08 and 35,377.25 is: 53,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.68 : 159,679.08 = 35,377.25 : x
  2. Step 2: Convert to fraction form
    106,492.68/159,679.08 = 35,377.25/x
  3. Step 3: Cross multiply
    106,492.68x = 159,679.08 × 35,377.25
  4. Step 4: Simplify right side
    106,492.68x = 5,649,005,934.53
  5. Step 5: Solve for x
    x = 5,649,005,934.53/106,492.68
  6. Step 6: Final answer
    x = 53,045.96

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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.