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Finding the Fourth Proportional to 30,697.15, 46,041.16 and 8,508.21

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Solution

The fourth proportional to 30,697.15, 46,041.16 and 8,508.21 is: 12,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.15 : 46,041.16 = 8,508.21 : x
  2. Step 2: Convert to fraction form
    30,697.15/46,041.16 = 8,508.21/x
  3. Step 3: Cross multiply
    30,697.15x = 46,041.16 × 8,508.21
  4. Step 4: Simplify right side
    30,697.15x = 391,727,857.92
  5. Step 5: Solve for x
    x = 391,727,857.92/30,697.15
  6. Step 6: Final answer
    x = 12,761.05

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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.