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Finding the Fourth Proportional to 30,618.24, 45,927.32 and 8,431.76

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Solution

The fourth proportional to 30,618.24, 45,927.32 and 8,431.76 is: 12,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618.24 : 45,927.32 = 8,431.76 : x
  2. Step 2: Convert to fraction form
    30,618.24/45,927.32 = 8,431.76/x
  3. Step 3: Cross multiply
    30,618.24x = 45,927.32 × 8,431.76
  4. Step 4: Simplify right side
    30,618.24x = 387,248,139.68
  5. Step 5: Solve for x
    x = 387,248,139.68/30,618.24
  6. Step 6: Final answer
    x = 12,647.63

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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.