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Finding the Fourth Proportional to 106,492.48, 159,724.89 and 31,611.13

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Solution

The fourth proportional to 106,492.48, 159,724.89 and 31,611.13 is: 47,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.48 : 159,724.89 = 31,611.13 : x
  2. Step 2: Convert to fraction form
    106,492.48/159,724.89 = 31,611.13/x
  3. Step 3: Cross multiply
    106,492.48x = 159,724.89 × 31,611.13
  4. Step 4: Simplify right side
    106,492.48x = 5,049,084,262.03
  5. Step 5: Solve for x
    x = 5,049,084,262.03/106,492.48
  6. Step 6: Final answer
    x = 47,412.59

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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.