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Finding the Fourth Proportional to 97,133.46, 145,712.94 and 33,954.66

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Solution

The fourth proportional to 97,133.46, 145,712.94 and 33,954.66 is: 50,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,133.46 : 145,712.94 = 33,954.66 : x
  2. Step 2: Convert to fraction form
    97,133.46/145,712.94 = 33,954.66/x
  3. Step 3: Cross multiply
    97,133.46x = 145,712.94 × 33,954.66
  4. Step 4: Simplify right side
    97,133.46x = 4,947,633,335.30
  5. Step 5: Solve for x
    x = 4,947,633,335.30/97,133.46
  6. Step 6: Final answer
    x = 50,936.45

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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.