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Finding the Fourth Proportional to 82,348.96, 113,643.84 and 46,538.24

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Solution

The fourth proportional to 82,348.96, 113,643.84 and 46,538.24 is: 64,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,348.96 : 113,643.84 = 46,538.24 : x
  2. Step 2: Convert to fraction form
    82,348.96/113,643.84 = 46,538.24/x
  3. Step 3: Cross multiply
    82,348.96x = 113,643.84 × 46,538.24
  4. Step 4: Simplify right side
    82,348.96x = 5,288,784,300.44
  5. Step 5: Solve for x
    x = 5,288,784,300.44/82,348.96
  6. Step 6: Final answer
    x = 64,224.06

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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.