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Finding the Fourth Proportional to 82,232.30, 113,473.72 and 48,237.21

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Solution

The fourth proportional to 82,232.30, 113,473.72 and 48,237.21 is: 66,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,232.30 : 113,473.72 = 48,237.21 : x
  2. Step 2: Convert to fraction form
    82,232.30/113,473.72 = 48,237.21/x
  3. Step 3: Cross multiply
    82,232.30x = 113,473.72 × 48,237.21
  4. Step 4: Simplify right side
    82,232.30x = 5,473,655,661.12
  5. Step 5: Solve for x
    x = 5,473,655,661.12/82,232.30
  6. Step 6: Final answer
    x = 66,563.33

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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.