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Finding the Fourth Proportional to 96,123, 132,640.62 and 55,835.66

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Solution

The fourth proportional to 96,123, 132,640.62 and 55,835.66 is: 77,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,123 : 132,640.62 = 55,835.66 : x
  2. Step 2: Convert to fraction form
    96,123/132,640.62 = 55,835.66/x
  3. Step 3: Cross multiply
    96,123x = 132,640.62 × 55,835.66
  4. Step 4: Simplify right side
    96,123x = 7,406,076,560.51
  5. Step 5: Solve for x
    x = 7,406,076,560.51/96,123
  6. Step 6: Final answer
    x = 77,047.91

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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.