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Finding the Fourth Proportional to 30,532.74, 45,810.64 and 11,813.90

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Solution

The fourth proportional to 30,532.74, 45,810.64 and 11,813.90 is: 17,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.74 : 45,810.64 = 11,813.90 : x
  2. Step 2: Convert to fraction form
    30,532.74/45,810.64 = 11,813.90/x
  3. Step 3: Cross multiply
    30,532.74x = 45,810.64 × 11,813.90
  4. Step 4: Simplify right side
    30,532.74x = 541,202,404.83
  5. Step 5: Solve for x
    x = 541,202,404.83/30,532.74
  6. Step 6: Final answer
    x = 17,725.31

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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.