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Finding the Fourth Proportional to 95,714, 132,085.32 and 55,970

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Solution

The fourth proportional to 95,714, 132,085.32 and 55,970 is: 77,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,714 : 132,085.32 = 55,970 : x
  2. Step 2: Convert to fraction form
    95,714/132,085.32 = 55,970/x
  3. Step 3: Cross multiply
    95,714x = 132,085.32 × 55,970
  4. Step 4: Simplify right side
    95,714x = 7,392,815,360.40
  5. Step 5: Solve for x
    x = 7,392,815,360.40/95,714
  6. Step 6: Final answer
    x = 77,238.60

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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.