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Finding the Fourth Proportional to 30,650.82, 45,972.73 and 10,656.47

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Solution

The fourth proportional to 30,650.82, 45,972.73 and 10,656.47 is: 15,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.82 : 45,972.73 = 10,656.47 : x
  2. Step 2: Convert to fraction form
    30,650.82/45,972.73 = 10,656.47/x
  3. Step 3: Cross multiply
    30,650.82x = 45,972.73 × 10,656.47
  4. Step 4: Simplify right side
    30,650.82x = 489,907,146.32
  5. Step 5: Solve for x
    x = 489,907,146.32/30,650.82
  6. Step 6: Final answer
    x = 15,983.49

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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.