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Finding the Fourth Proportional to 30,544.44, 45,817.56 and 11,564.93

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Solution

The fourth proportional to 30,544.44, 45,817.56 and 11,564.93 is: 17,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,544.44 : 45,817.56 = 11,564.93 : x
  2. Step 2: Convert to fraction form
    30,544.44/45,817.56 = 11,564.93/x
  3. Step 3: Cross multiply
    30,544.44x = 45,817.56 × 11,564.93
  4. Step 4: Simplify right side
    30,544.44x = 529,876,874.17
  5. Step 5: Solve for x
    x = 529,876,874.17/30,544.44
  6. Step 6: Final answer
    x = 17,347.74

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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.