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Finding the Fourth Proportional to 30,317.16, 45,475.42 and 11,849

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Solution

The fourth proportional to 30,317.16, 45,475.42 and 11,849 is: 17,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,317.16 : 45,475.42 = 11,849 : x
  2. Step 2: Convert to fraction form
    30,317.16/45,475.42 = 11,849/x
  3. Step 3: Cross multiply
    30,317.16x = 45,475.42 × 11,849
  4. Step 4: Simplify right side
    30,317.16x = 538,838,251.58
  5. Step 5: Solve for x
    x = 538,838,251.58/30,317.16
  6. Step 6: Final answer
    x = 17,773.37

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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.