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Finding the Fourth Proportional to 109,740.47, 164,564.22 and 34,840.49

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Solution

The fourth proportional to 109,740.47, 164,564.22 and 34,840.49 is: 52,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,740.47 : 164,564.22 = 34,840.49 : x
  2. Step 2: Convert to fraction form
    109,740.47/164,564.22 = 34,840.49/x
  3. Step 3: Cross multiply
    109,740.47x = 164,564.22 × 34,840.49
  4. Step 4: Simplify right side
    109,740.47x = 5,733,498,472.68
  5. Step 5: Solve for x
    x = 5,733,498,472.68/109,740.47
  6. Step 6: Final answer
    x = 52,245.98

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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.