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Finding the Fourth Proportional to 85,541.82, 128,304.09 and 30,133.50

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Solution

The fourth proportional to 85,541.82, 128,304.09 and 30,133.50 is: 45,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,541.82 : 128,304.09 = 30,133.50 : x
  2. Step 2: Convert to fraction form
    85,541.82/128,304.09 = 30,133.50/x
  3. Step 3: Cross multiply
    85,541.82x = 128,304.09 × 30,133.50
  4. Step 4: Simplify right side
    85,541.82x = 3,866,251,296.02
  5. Step 5: Solve for x
    x = 3,866,251,296.02/85,541.82
  6. Step 6: Final answer
    x = 45,197.21

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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.