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Finding the Fourth Proportional to 83,240.96, 114,840.25 and 53,020.87

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Solution

The fourth proportional to 83,240.96, 114,840.25 and 53,020.87 is: 73,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,240.96 : 114,840.25 = 53,020.87 : x
  2. Step 2: Convert to fraction form
    83,240.96/114,840.25 = 53,020.87/x
  3. Step 3: Cross multiply
    83,240.96x = 114,840.25 × 53,020.87
  4. Step 4: Simplify right side
    83,240.96x = 6,088,929,546.36
  5. Step 5: Solve for x
    x = 6,088,929,546.36/83,240.96
  6. Step 6: Final answer
    x = 73,148.24

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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.