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Finding the Fourth Proportional to 83,877.92, 115,794.41 and 64,714.63

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Solution

The fourth proportional to 83,877.92, 115,794.41 and 64,714.63 is: 89,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,877.92 : 115,794.41 = 64,714.63 : x
  2. Step 2: Convert to fraction form
    83,877.92/115,794.41 = 64,714.63/x
  3. Step 3: Cross multiply
    83,877.92x = 115,794.41 × 64,714.63
  4. Step 4: Simplify right side
    83,877.92x = 7,493,592,399.22
  5. Step 5: Solve for x
    x = 7,493,592,399.22/83,877.92
  6. Step 6: Final answer
    x = 89,339.27

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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.