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Finding the Fourth Proportional to 54,896.15, 82,345.13 and 15,454.21

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Solution

The fourth proportional to 54,896.15, 82,345.13 and 15,454.21 is: 23,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,896.15 : 82,345.13 = 15,454.21 : x
  2. Step 2: Convert to fraction form
    54,896.15/82,345.13 = 15,454.21/x
  3. Step 3: Cross multiply
    54,896.15x = 82,345.13 × 15,454.21
  4. Step 4: Simplify right side
    54,896.15x = 1,272,578,931.50
  5. Step 5: Solve for x
    x = 1,272,578,931.50/54,896.15
  6. Step 6: Final answer
    x = 23,181.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.