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Finding the Fourth Proportional to 95,767.72, 132,029.40 and 77,834.32

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Solution

The fourth proportional to 95,767.72, 132,029.40 and 77,834.32 is: 107,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,767.72 : 132,029.40 = 77,834.32 : x
  2. Step 2: Convert to fraction form
    95,767.72/132,029.40 = 77,834.32/x
  3. Step 3: Cross multiply
    95,767.72x = 132,029.40 × 77,834.32
  4. Step 4: Simplify right side
    95,767.72x = 10,276,418,569.01
  5. Step 5: Solve for x
    x = 10,276,418,569.01/95,767.72
  6. Step 6: Final answer
    x = 107,305.66

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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.