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Finding the Fourth Proportional to 107,955.47, 161,935.23 and 36,894.37

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Solution

The fourth proportional to 107,955.47, 161,935.23 and 36,894.37 is: 55,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,955.47 : 161,935.23 = 36,894.37 : x
  2. Step 2: Convert to fraction form
    107,955.47/161,935.23 = 36,894.37/x
  3. Step 3: Cross multiply
    107,955.47x = 161,935.23 × 36,894.37
  4. Step 4: Simplify right side
    107,955.47x = 5,974,498,291.66
  5. Step 5: Solve for x
    x = 5,974,498,291.66/107,955.47
  6. Step 6: Final answer
    x = 55,342.25

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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.