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Finding the Fourth Proportional to 82,041.42, 113,217.16 and 46,232.72

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Solution

The fourth proportional to 82,041.42, 113,217.16 and 46,232.72 is: 63,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.42 : 113,217.16 = 46,232.72 : x
  2. Step 2: Convert to fraction form
    82,041.42/113,217.16 = 46,232.72/x
  3. Step 3: Cross multiply
    82,041.42x = 113,217.16 × 46,232.72
  4. Step 4: Simplify right side
    82,041.42x = 5,234,337,723.90
  5. Step 5: Solve for x
    x = 5,234,337,723.90/82,041.42
  6. Step 6: Final answer
    x = 63,801.16

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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.