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Finding the Fourth Proportional to 77,496.66, 106,917.88 and 50,654.66

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Solution

The fourth proportional to 77,496.66, 106,917.88 and 50,654.66 is: 69,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,496.66 : 106,917.88 = 50,654.66 : x
  2. Step 2: Convert to fraction form
    77,496.66/106,917.88 = 50,654.66/x
  3. Step 3: Cross multiply
    77,496.66x = 106,917.88 × 50,654.66
  4. Step 4: Simplify right side
    77,496.66x = 5,415,888,071.46
  5. Step 5: Solve for x
    x = 5,415,888,071.46/77,496.66
  6. Step 6: Final answer
    x = 69,885.44

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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.