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Finding the Fourth Proportional to 30,565.96, 45,845.01 and 11,833.16

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Solution

The fourth proportional to 30,565.96, 45,845.01 and 11,833.16 is: 17,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.96 : 45,845.01 = 11,833.16 : x
  2. Step 2: Convert to fraction form
    30,565.96/45,845.01 = 11,833.16/x
  3. Step 3: Cross multiply
    30,565.96x = 45,845.01 × 11,833.16
  4. Step 4: Simplify right side
    30,565.96x = 542,491,109.31
  5. Step 5: Solve for x
    x = 542,491,109.31/30,565.96
  6. Step 6: Final answer
    x = 17,748.21

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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.