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Finding the Fourth Proportional to 82,563.24, 113,947 and 49,029.24

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Solution

The fourth proportional to 82,563.24, 113,947 and 49,029.24 is: 67,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,563.24 : 113,947 = 49,029.24 : x
  2. Step 2: Convert to fraction form
    82,563.24/113,947 = 49,029.24/x
  3. Step 3: Cross multiply
    82,563.24x = 113,947 × 49,029.24
  4. Step 4: Simplify right side
    82,563.24x = 5,586,734,810.28
  5. Step 5: Solve for x
    x = 5,586,734,810.28/82,563.24
  6. Step 6: Final answer
    x = 67,666.13

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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.