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Finding the Fourth Proportional to 82,047.50, 113,225.53 and 46,238.78

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Solution

The fourth proportional to 82,047.50, 113,225.53 and 46,238.78 is: 63,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,047.50 : 113,225.53 = 46,238.78 : x
  2. Step 2: Convert to fraction form
    82,047.50/113,225.53 = 46,238.78/x
  3. Step 3: Cross multiply
    82,047.50x = 113,225.53 × 46,238.78
  4. Step 4: Simplify right side
    82,047.50x = 5,235,410,372.05
  5. Step 5: Solve for x
    x = 5,235,410,372.05/82,047.50
  6. Step 6: Final answer
    x = 63,809.51

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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.