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Finding the Fourth Proportional to 84,233.84, 116,216.36 and 48,410.72

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Solution

The fourth proportional to 84,233.84, 116,216.36 and 48,410.72 is: 66,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,233.84 : 116,216.36 = 48,410.72 : x
  2. Step 2: Convert to fraction form
    84,233.84/116,216.36 = 48,410.72/x
  3. Step 3: Cross multiply
    84,233.84x = 116,216.36 × 48,410.72
  4. Step 4: Simplify right side
    84,233.84x = 5,626,117,663.38
  5. Step 5: Solve for x
    x = 5,626,117,663.38/84,233.84
  6. Step 6: Final answer
    x = 66,791.66

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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.