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Finding the Fourth Proportional to 83,546.78, 115,295.82 and 45,820.22

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Solution

The fourth proportional to 83,546.78, 115,295.82 and 45,820.22 is: 63,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546.78 : 115,295.82 = 45,820.22 : x
  2. Step 2: Convert to fraction form
    83,546.78/115,295.82 = 45,820.22/x
  3. Step 3: Cross multiply
    83,546.78x = 115,295.82 × 45,820.22
  4. Step 4: Simplify right side
    83,546.78x = 5,282,879,837.48
  5. Step 5: Solve for x
    x = 5,282,879,837.48/83,546.78
  6. Step 6: Final answer
    x = 63,232.60

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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.