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Finding the Fourth Proportional to 30,262.78, 45,401.46 and 9,486.28

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Solution

The fourth proportional to 30,262.78, 45,401.46 and 9,486.28 is: 14,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.78 : 45,401.46 = 9,486.28 : x
  2. Step 2: Convert to fraction form
    30,262.78/45,401.46 = 9,486.28/x
  3. Step 3: Cross multiply
    30,262.78x = 45,401.46 × 9,486.28
  4. Step 4: Simplify right side
    30,262.78x = 430,691,036.51
  5. Step 5: Solve for x
    x = 430,691,036.51/30,262.78
  6. Step 6: Final answer
    x = 14,231.71

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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.