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Finding the Fourth Proportional to 82,142.96, 113,357.40 and 44,417.21

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Solution

The fourth proportional to 82,142.96, 113,357.40 and 44,417.21 is: 61,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.96 : 113,357.40 = 44,417.21 : x
  2. Step 2: Convert to fraction form
    82,142.96/113,357.40 = 44,417.21/x
  3. Step 3: Cross multiply
    82,142.96x = 113,357.40 × 44,417.21
  4. Step 4: Simplify right side
    82,142.96x = 5,035,018,874.07
  5. Step 5: Solve for x
    x = 5,035,018,874.07/82,142.96
  6. Step 6: Final answer
    x = 61,295.81

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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.