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Finding the Fourth Proportional to 34,159.33, 47,143.49 and 20,024.05

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Solution

The fourth proportional to 34,159.33, 47,143.49 and 20,024.05 is: 27,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159.33 : 47,143.49 = 20,024.05 : x
  2. Step 2: Convert to fraction form
    34,159.33/47,143.49 = 20,024.05/x
  3. Step 3: Cross multiply
    34,159.33x = 47,143.49 × 20,024.05
  4. Step 4: Simplify right side
    34,159.33x = 944,003,415.28
  5. Step 5: Solve for x
    x = 944,003,415.28/34,159.33
  6. Step 6: Final answer
    x = 27,635.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.