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Finding the Fourth Proportional to 83,843.02, 115,751.19 and 55,586.98

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Solution

The fourth proportional to 83,843.02, 115,751.19 and 55,586.98 is: 76,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.02 : 115,751.19 = 55,586.98 : x
  2. Step 2: Convert to fraction form
    83,843.02/115,751.19 = 55,586.98/x
  3. Step 3: Cross multiply
    83,843.02x = 115,751.19 × 55,586.98
  4. Step 4: Simplify right side
    83,843.02x = 6,434,259,083.51
  5. Step 5: Solve for x
    x = 6,434,259,083.51/83,843.02
  6. Step 6: Final answer
    x = 76,741.74

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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.