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Finding the Fourth Proportional to 82,853.50, 114,255.74 and 51,016.20

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Solution

The fourth proportional to 82,853.50, 114,255.74 and 51,016.20 is: 70,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,853.50 : 114,255.74 = 51,016.20 : x
  2. Step 2: Convert to fraction form
    82,853.50/114,255.74 = 51,016.20/x
  3. Step 3: Cross multiply
    82,853.50x = 114,255.74 × 51,016.20
  4. Step 4: Simplify right side
    82,853.50x = 5,828,893,682.99
  5. Step 5: Solve for x
    x = 5,828,893,682.99/82,853.50
  6. Step 6: Final answer
    x = 70,351.81

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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.