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Finding the Fourth Proportional to 95,742.65, 132,080.51 and 61,762.09

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Solution

The fourth proportional to 95,742.65, 132,080.51 and 61,762.09 is: 85,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,742.65 : 132,080.51 = 61,762.09 : x
  2. Step 2: Convert to fraction form
    95,742.65/132,080.51 = 61,762.09/x
  3. Step 3: Cross multiply
    95,742.65x = 132,080.51 × 61,762.09
  4. Step 4: Simplify right side
    95,742.65x = 8,157,568,170.07
  5. Step 5: Solve for x
    x = 8,157,568,170.07/95,742.65
  6. Step 6: Final answer
    x = 85,203.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.