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Finding the Fourth Proportional to 83,176.76, 114,786.76 and 45,453.44

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Solution

The fourth proportional to 83,176.76, 114,786.76 and 45,453.44 is: 62,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176.76 : 114,786.76 = 45,453.44 : x
  2. Step 2: Convert to fraction form
    83,176.76/114,786.76 = 45,453.44/x
  3. Step 3: Cross multiply
    83,176.76x = 114,786.76 × 45,453.44
  4. Step 4: Simplify right side
    83,176.76x = 5,217,453,108.45
  5. Step 5: Solve for x
    x = 5,217,453,108.45/83,176.76
  6. Step 6: Final answer
    x = 62,727.29

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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.