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Finding the Fourth Proportional to 82,145.57, 113,356.16 and 46,333.44

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Solution

The fourth proportional to 82,145.57, 113,356.16 and 46,333.44 is: 63,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,145.57 : 113,356.16 = 46,333.44 : x
  2. Step 2: Convert to fraction form
    82,145.57/113,356.16 = 46,333.44/x
  3. Step 3: Cross multiply
    82,145.57x = 113,356.16 × 46,333.44
  4. Step 4: Simplify right side
    82,145.57x = 5,252,180,953.82
  5. Step 5: Solve for x
    x = 5,252,180,953.82/82,145.57
  6. Step 6: Final answer
    x = 63,937.49

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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.