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Finding the Fourth Proportional to 95,977, 132,448.38 and 53,538.22

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Solution

The fourth proportional to 95,977, 132,448.38 and 53,538.22 is: 73,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,977 : 132,448.38 = 53,538.22 : x
  2. Step 2: Convert to fraction form
    95,977/132,448.38 = 53,538.22/x
  3. Step 3: Cross multiply
    95,977x = 132,448.38 × 53,538.22
  4. Step 4: Simplify right side
    95,977x = 7,091,050,507.08
  5. Step 5: Solve for x
    x = 7,091,050,507.08/95,977
  6. Step 6: Final answer
    x = 73,882.81

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1.5x scale

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.