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Finding the Fourth Proportional to 30,247.74, 45,371.46 and 7,758.32

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Solution

The fourth proportional to 30,247.74, 45,371.46 and 7,758.32 is: 11,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,247.74 : 45,371.46 = 7,758.32 : x
  2. Step 2: Convert to fraction form
    30,247.74/45,371.46 = 7,758.32/x
  3. Step 3: Cross multiply
    30,247.74x = 45,371.46 × 7,758.32
  4. Step 4: Simplify right side
    30,247.74x = 352,006,305.55
  5. Step 5: Solve for x
    x = 352,006,305.55/30,247.74
  6. Step 6: Final answer
    x = 11,637.44

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