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Finding the Fourth Proportional to 30,489.75, 45,718.83 and 11,776.32

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Solution

The fourth proportional to 30,489.75, 45,718.83 and 11,776.32 is: 17,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.75 : 45,718.83 = 11,776.32 : x
  2. Step 2: Convert to fraction form
    30,489.75/45,718.83 = 11,776.32/x
  3. Step 3: Cross multiply
    30,489.75x = 45,718.83 × 11,776.32
  4. Step 4: Simplify right side
    30,489.75x = 538,399,572.11
  5. Step 5: Solve for x
    x = 538,399,572.11/30,489.75
  6. Step 6: Final answer
    x = 17,658.38

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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.