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Finding the Fourth Proportional to 30,419.49, 45,651.12 and 10,714.62

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Solution

The fourth proportional to 30,419.49, 45,651.12 and 10,714.62 is: 16,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.49 : 45,651.12 = 10,714.62 : x
  2. Step 2: Convert to fraction form
    30,419.49/45,651.12 = 10,714.62/x
  3. Step 3: Cross multiply
    30,419.49x = 45,651.12 × 10,714.62
  4. Step 4: Simplify right side
    30,419.49x = 489,134,403.37
  5. Step 5: Solve for x
    x = 489,134,403.37/30,419.49
  6. Step 6: Final answer
    x = 16,079.64

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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.