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Finding the Fourth Proportional to 82,551.77, 113,914.99 and 48,561.54

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Solution

The fourth proportional to 82,551.77, 113,914.99 and 48,561.54 is: 67,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,551.77 : 113,914.99 = 48,561.54 : x
  2. Step 2: Convert to fraction form
    82,551.77/113,914.99 = 48,561.54/x
  3. Step 3: Cross multiply
    82,551.77x = 113,914.99 × 48,561.54
  4. Step 4: Simplify right side
    82,551.77x = 5,531,887,343.48
  5. Step 5: Solve for x
    x = 5,531,887,343.48/82,551.77
  6. Step 6: Final answer
    x = 67,011.13

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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.