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Finding the Fourth Proportional to 77,938, 107,564.97 and 43,953.46

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Solution

The fourth proportional to 77,938, 107,564.97 and 43,953.46 is: 60,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,938 : 107,564.97 = 43,953.46 : x
  2. Step 2: Convert to fraction form
    77,938/107,564.97 = 43,953.46/x
  3. Step 3: Cross multiply
    77,938x = 107,564.97 × 43,953.46
  4. Step 4: Simplify right side
    77,938x = 4,727,852,606.30
  5. Step 5: Solve for x
    x = 4,727,852,606.30/77,938
  6. Step 6: Final answer
    x = 60,661.71

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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.