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Finding the Fourth Proportional to 84,761.81, 116,976.77 and 47,036.06

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Solution

The fourth proportional to 84,761.81, 116,976.77 and 47,036.06 is: 64,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,761.81 : 116,976.77 = 47,036.06 : x
  2. Step 2: Convert to fraction form
    84,761.81/116,976.77 = 47,036.06/x
  3. Step 3: Cross multiply
    84,761.81x = 116,976.77 × 47,036.06
  4. Step 4: Simplify right side
    84,761.81x = 5,502,126,782.36
  5. Step 5: Solve for x
    x = 5,502,126,782.36/84,761.81
  6. Step 6: Final answer
    x = 64,912.80

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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.