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Finding the Fourth Proportional to 30,542.44, 45,814.56 and 11,562.93

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Solution

The fourth proportional to 30,542.44, 45,814.56 and 11,562.93 is: 17,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.44 : 45,814.56 = 11,562.93 : x
  2. Step 2: Convert to fraction form
    30,542.44/45,814.56 = 11,562.93/x
  3. Step 3: Cross multiply
    30,542.44x = 45,814.56 × 11,562.93
  4. Step 4: Simplify right side
    30,542.44x = 529,750,550.26
  5. Step 5: Solve for x
    x = 529,750,550.26/30,542.44
  6. Step 6: Final answer
    x = 17,344.74

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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.