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Finding the Fourth Proportional to 82,094.95, 113,291.49 and 51,893.56

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Solution

The fourth proportional to 82,094.95, 113,291.49 and 51,893.56 is: 71,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,094.95 : 113,291.49 = 51,893.56 : x
  2. Step 2: Convert to fraction form
    82,094.95/113,291.49 = 51,893.56/x
  3. Step 3: Cross multiply
    82,094.95x = 113,291.49 × 51,893.56
  4. Step 4: Simplify right side
    82,094.95x = 5,879,098,733.80
  5. Step 5: Solve for x
    x = 5,879,098,733.80/82,094.95
  6. Step 6: Final answer
    x = 71,613.40

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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.