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Finding the Fourth Proportional to 101,542.13, 152,313.20 and 27,670.13

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Solution

The fourth proportional to 101,542.13, 152,313.20 and 27,670.13 is: 41,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,542.13 : 152,313.20 = 27,670.13 : x
  2. Step 2: Convert to fraction form
    101,542.13/152,313.20 = 27,670.13/x
  3. Step 3: Cross multiply
    101,542.13x = 152,313.20 × 27,670.13
  4. Step 4: Simplify right side
    101,542.13x = 4,214,526,044.72
  5. Step 5: Solve for x
    x = 4,214,526,044.72/101,542.13
  6. Step 6: Final answer
    x = 41,505.20

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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.