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Finding the Fourth Proportional to 30,892.34, 46,338.42 and 11,170.91

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Solution

The fourth proportional to 30,892.34, 46,338.42 and 11,170.91 is: 16,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.34 : 46,338.42 = 11,170.91 : x
  2. Step 2: Convert to fraction form
    30,892.34/46,338.42 = 11,170.91/x
  3. Step 3: Cross multiply
    30,892.34x = 46,338.42 × 11,170.91
  4. Step 4: Simplify right side
    30,892.34x = 517,642,319.36
  5. Step 5: Solve for x
    x = 517,642,319.36/30,892.34
  6. Step 6: Final answer
    x = 16,756.33

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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.