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Finding the Fourth Proportional to 84,240.48, 116,201.52 and 50,700

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Solution

The fourth proportional to 84,240.48, 116,201.52 and 50,700 is: 69,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,240.48 : 116,201.52 = 50,700 : x
  2. Step 2: Convert to fraction form
    84,240.48/116,201.52 = 50,700/x
  3. Step 3: Cross multiply
    84,240.48x = 116,201.52 × 50,700
  4. Step 4: Simplify right side
    84,240.48x = 5,891,417,064
  5. Step 5: Solve for x
    x = 5,891,417,064/84,240.48
  6. Step 6: Final answer
    x = 69,935.70

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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.