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Finding the Fourth Proportional to 30,486.78, 45,732.74 and 11,766.06

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Solution

The fourth proportional to 30,486.78, 45,732.74 and 11,766.06 is: 17,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.78 : 45,732.74 = 11,766.06 : x
  2. Step 2: Convert to fraction form
    30,486.78/45,732.74 = 11,766.06/x
  3. Step 3: Cross multiply
    30,486.78x = 45,732.74 × 11,766.06
  4. Step 4: Simplify right side
    30,486.78x = 538,094,103.97
  5. Step 5: Solve for x
    x = 538,094,103.97/30,486.78
  6. Step 6: Final answer
    x = 17,650.08

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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.