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Finding the Fourth Proportional to 49,762.32, 68,672.00 and 27,406.32

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Solution

The fourth proportional to 49,762.32, 68,672.00 and 27,406.32 is: 37,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.32 : 68,672.00 = 27,406.32 : x
  2. Step 2: Convert to fraction form
    49,762.32/68,672.00 = 27,406.32/x
  3. Step 3: Cross multiply
    49,762.32x = 68,672.00 × 27,406.32
  4. Step 4: Simplify right side
    49,762.32x = 1,882,046,670.01
  5. Step 5: Solve for x
    x = 1,882,046,670.01/49,762.32
  6. Step 6: Final answer
    x = 37,820.72

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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.