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Finding the Fourth Proportional to 82,290.42, 113,560.86 and 46,480.50

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Solution

The fourth proportional to 82,290.42, 113,560.86 and 46,480.50 is: 64,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290.42 : 113,560.86 = 46,480.50 : x
  2. Step 2: Convert to fraction form
    82,290.42/113,560.86 = 46,480.50/x
  3. Step 3: Cross multiply
    82,290.42x = 113,560.86 × 46,480.50
  4. Step 4: Simplify right side
    82,290.42x = 5,278,365,553.23
  5. Step 5: Solve for x
    x = 5,278,365,553.23/82,290.42
  6. Step 6: Final answer
    x = 64,143.14

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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.