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Finding the Fourth Proportional to 82,093, 113,288.16 and 46,282.76

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Solution

The fourth proportional to 82,093, 113,288.16 and 46,282.76 is: 63,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,093 : 113,288.16 = 46,282.76 : x
  2. Step 2: Convert to fraction form
    82,093/113,288.16 = 46,282.76/x
  3. Step 3: Cross multiply
    82,093x = 113,288.16 × 46,282.76
  4. Step 4: Simplify right side
    82,093x = 5,243,288,720.12
  5. Step 5: Solve for x
    x = 5,243,288,720.12/82,093
  6. Step 6: Final answer
    x = 63,870.11

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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.