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Finding the Fourth Proportional to 82,163.04, 113,385 and 44,437.30

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Solution

The fourth proportional to 82,163.04, 113,385 and 44,437.30 is: 61,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.04 : 113,385 = 44,437.30 : x
  2. Step 2: Convert to fraction form
    82,163.04/113,385 = 44,437.30/x
  3. Step 3: Cross multiply
    82,163.04x = 113,385 × 44,437.30
  4. Step 4: Simplify right side
    82,163.04x = 5,038,523,260.50
  5. Step 5: Solve for x
    x = 5,038,523,260.50/82,163.04
  6. Step 6: Final answer
    x = 61,323.48

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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.