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Finding the Fourth Proportional to 49,014, 73,496.16 and 20,929.68

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Solution

The fourth proportional to 49,014, 73,496.16 and 20,929.68 is: 31,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,014 : 73,496.16 = 20,929.68 : x
  2. Step 2: Convert to fraction form
    49,014/73,496.16 = 20,929.68/x
  3. Step 3: Cross multiply
    49,014x = 73,496.16 × 20,929.68
  4. Step 4: Simplify right side
    49,014x = 1,538,251,110.03
  5. Step 5: Solve for x
    x = 1,538,251,110.03/49,014
  6. Step 6: Final answer
    x = 31,383.91

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