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Finding the Fourth Proportional to 46,234.80, 63,811.80 and 27,382.32

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Solution

The fourth proportional to 46,234.80, 63,811.80 and 27,382.32 is: 37,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,234.80 : 63,811.80 = 27,382.32 : x
  2. Step 2: Convert to fraction form
    46,234.80/63,811.80 = 27,382.32/x
  3. Step 3: Cross multiply
    46,234.80x = 63,811.80 × 27,382.32
  4. Step 4: Simplify right side
    46,234.80x = 1,747,315,127.38
  5. Step 5: Solve for x
    x = 1,747,315,127.38/46,234.80
  6. Step 6: Final answer
    x = 37,792.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.