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Finding the Fourth Proportional to 46,147.92, 63,684.72 and 27,285

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Solution

The fourth proportional to 46,147.92, 63,684.72 and 27,285 is: 37,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147.92 : 63,684.72 = 27,285 : x
  2. Step 2: Convert to fraction form
    46,147.92/63,684.72 = 27,285/x
  3. Step 3: Cross multiply
    46,147.92x = 63,684.72 × 27,285
  4. Step 4: Simplify right side
    46,147.92x = 1,737,637,585.20
  5. Step 5: Solve for x
    x = 1,737,637,585.20/46,147.92
  6. Step 6: Final answer
    x = 37,653.65

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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.