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Finding the Fourth Proportional to 47,382.90, 65,392.24 and 27,246.32

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Solution

The fourth proportional to 47,382.90, 65,392.24 and 27,246.32 is: 37,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382.90 : 65,392.24 = 27,246.32 : x
  2. Step 2: Convert to fraction form
    47,382.90/65,392.24 = 27,246.32/x
  3. Step 3: Cross multiply
    47,382.90x = 65,392.24 × 27,246.32
  4. Step 4: Simplify right side
    47,382.90x = 1,781,697,896.56
  5. Step 5: Solve for x
    x = 1,781,697,896.56/47,382.90
  6. Step 6: Final answer
    x = 37,602.13

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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.