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Finding the Fourth Proportional to 30,400.02, 45,598.31 and 8,211.72

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Solution

The fourth proportional to 30,400.02, 45,598.31 and 8,211.72 is: 12,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.02 : 45,598.31 = 8,211.72 : x
  2. Step 2: Convert to fraction form
    30,400.02/45,598.31 = 8,211.72/x
  3. Step 3: Cross multiply
    30,400.02x = 45,598.31 × 8,211.72
  4. Step 4: Simplify right side
    30,400.02x = 374,440,714.92
  5. Step 5: Solve for x
    x = 374,440,714.92/30,400.02
  6. Step 6: Final answer
    x = 12,317.12

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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.