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Finding the Fourth Proportional to 51,164.43, 70,581.51 and 34,191.44

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Solution

The fourth proportional to 51,164.43, 70,581.51 and 34,191.44 is: 47,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164.43 : 70,581.51 = 34,191.44 : x
  2. Step 2: Convert to fraction form
    51,164.43/70,581.51 = 34,191.44/x
  3. Step 3: Cross multiply
    51,164.43x = 70,581.51 × 34,191.44
  4. Step 4: Simplify right side
    51,164.43x = 2,413,283,111.37
  5. Step 5: Solve for x
    x = 2,413,283,111.37/51,164.43
  6. Step 6: Final answer
    x = 47,167.21

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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.