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Finding the Fourth Proportional to 30,695.46, 46,034.10 and 13,161.12

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Solution

The fourth proportional to 30,695.46, 46,034.10 and 13,161.12 is: 19,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695.46 : 46,034.10 = 13,161.12 : x
  2. Step 2: Convert to fraction form
    30,695.46/46,034.10 = 13,161.12/x
  3. Step 3: Cross multiply
    30,695.46x = 46,034.10 × 13,161.12
  4. Step 4: Simplify right side
    30,695.46x = 605,860,314.19
  5. Step 5: Solve for x
    x = 605,860,314.19/30,695.46
  6. Step 6: Final answer
    x = 19,737.78

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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.