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Finding the Fourth Proportional to 30,925.50, 46,396.17 and 10,149.18

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Solution

The fourth proportional to 30,925.50, 46,396.17 and 10,149.18 is: 15,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925.50 : 46,396.17 = 10,149.18 : x
  2. Step 2: Convert to fraction form
    30,925.50/46,396.17 = 10,149.18/x
  3. Step 3: Cross multiply
    30,925.50x = 46,396.17 × 10,149.18
  4. Step 4: Simplify right side
    30,925.50x = 470,883,080.64
  5. Step 5: Solve for x
    x = 470,883,080.64/30,925.50
  6. Step 6: Final answer
    x = 15,226.37

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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.