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Finding the Fourth Proportional to 77,602.72, 116,306.69 and 33,177.26

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Solution

The fourth proportional to 77,602.72, 116,306.69 and 33,177.26 is: 49,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,602.72 : 116,306.69 = 33,177.26 : x
  2. Step 2: Convert to fraction form
    77,602.72/116,306.69 = 33,177.26/x
  3. Step 3: Cross multiply
    77,602.72x = 116,306.69 × 33,177.26
  4. Step 4: Simplify right side
    77,602.72x = 3,858,736,712.34
  5. Step 5: Solve for x
    x = 3,858,736,712.34/77,602.72
  6. Step 6: Final answer
    x = 49,724.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.