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Finding the Fourth Proportional to 30,816.74, 46,232.04 and 9,758.04

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Solution

The fourth proportional to 30,816.74, 46,232.04 and 9,758.04 is: 14,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.74 : 46,232.04 = 9,758.04 : x
  2. Step 2: Convert to fraction form
    30,816.74/46,232.04 = 9,758.04/x
  3. Step 3: Cross multiply
    30,816.74x = 46,232.04 × 9,758.04
  4. Step 4: Simplify right side
    30,816.74x = 451,134,046.81
  5. Step 5: Solve for x
    x = 451,134,046.81/30,816.74
  6. Step 6: Final answer
    x = 14,639.25

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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.