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Finding the Fourth Proportional to 85,824.30, 128,542.05 and 50,832.30

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Solution

The fourth proportional to 85,824.30, 128,542.05 and 50,832.30 is: 76,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824.30 : 128,542.05 = 50,832.30 : x
  2. Step 2: Convert to fraction form
    85,824.30/128,542.05 = 50,832.30/x
  3. Step 3: Cross multiply
    85,824.30x = 128,542.05 × 50,832.30
  4. Step 4: Simplify right side
    85,824.30x = 6,534,088,048.22
  5. Step 5: Solve for x
    x = 6,534,088,048.22/85,824.30
  6. Step 6: Final answer
    x = 76,133.31

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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.