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Finding the Fourth Proportional to 82,149.32, 113,361.33 and 46,337.19

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Solution

The fourth proportional to 82,149.32, 113,361.33 and 46,337.19 is: 63,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149.32 : 113,361.33 = 46,337.19 : x
  2. Step 2: Convert to fraction form
    82,149.32/113,361.33 = 46,337.19/x
  3. Step 3: Cross multiply
    82,149.32x = 113,361.33 × 46,337.19
  4. Step 4: Simplify right side
    82,149.32x = 5,252,845,486.86
  5. Step 5: Solve for x
    x = 5,252,845,486.86/82,149.32
  6. Step 6: Final answer
    x = 63,942.65

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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.