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Finding the Fourth Proportional to 30,442.90, 45,665.34 and 8,256.22

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Solution

The fourth proportional to 30,442.90, 45,665.34 and 8,256.22 is: 12,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.90 : 45,665.34 = 8,256.22 : x
  2. Step 2: Convert to fraction form
    30,442.90/45,665.34 = 8,256.22/x
  3. Step 3: Cross multiply
    30,442.90x = 45,665.34 × 8,256.22
  4. Step 4: Simplify right side
    30,442.90x = 377,023,093.41
  5. Step 5: Solve for x
    x = 377,023,093.41/30,442.90
  6. Step 6: Final answer
    x = 12,384.60

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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.