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Finding the Fourth Proportional to 94,705.78, 142,081.80 and 31,525.78

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Solution

The fourth proportional to 94,705.78, 142,081.80 and 31,525.78 is: 47,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,705.78 : 142,081.80 = 31,525.78 : x
  2. Step 2: Convert to fraction form
    94,705.78/142,081.80 = 31,525.78/x
  3. Step 3: Cross multiply
    94,705.78x = 142,081.80 × 31,525.78
  4. Step 4: Simplify right side
    94,705.78x = 4,479,239,568.80
  5. Step 5: Solve for x
    x = 4,479,239,568.80/94,705.78
  6. Step 6: Final answer
    x = 47,296.37

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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.