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Finding the Fourth Proportional to 83,578.68, 115,334.82 and 45,852.12

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Solution

The fourth proportional to 83,578.68, 115,334.82 and 45,852.12 is: 63,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,578.68 : 115,334.82 = 45,852.12 : x
  2. Step 2: Convert to fraction form
    83,578.68/115,334.82 = 45,852.12/x
  3. Step 3: Cross multiply
    83,578.68x = 115,334.82 × 45,852.12
  4. Step 4: Simplify right side
    83,578.68x = 5,288,346,006.82
  5. Step 5: Solve for x
    x = 5,288,346,006.82/83,578.68
  6. Step 6: Final answer
    x = 63,273.86

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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.