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Finding the Fourth Proportional to 30,762, 42,451.56 and 17,516.56

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Solution

The fourth proportional to 30,762, 42,451.56 and 17,516.56 is: 24,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762 : 42,451.56 = 17,516.56 : x
  2. Step 2: Convert to fraction form
    30,762/42,451.56 = 17,516.56/x
  3. Step 3: Cross multiply
    30,762x = 42,451.56 × 17,516.56
  4. Step 4: Simplify right side
    30,762x = 743,605,297.83
  5. Step 5: Solve for x
    x = 743,605,297.83/30,762
  6. Step 6: Final answer
    x = 24,172.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.