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Finding the Fourth Proportional to 30,671.40, 46,007.10 and 25,714.20

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Solution

The fourth proportional to 30,671.40, 46,007.10 and 25,714.20 is: 38,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.40 : 46,007.10 = 25,714.20 : x
  2. Step 2: Convert to fraction form
    30,671.40/46,007.10 = 25,714.20/x
  3. Step 3: Cross multiply
    30,671.40x = 46,007.10 × 25,714.20
  4. Step 4: Simplify right side
    30,671.40x = 1,183,035,770.82
  5. Step 5: Solve for x
    x = 1,183,035,770.82/30,671.40
  6. Step 6: Final answer
    x = 38,571.30

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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.