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Finding the Fourth Proportional to 30,272.52, 45,397.26 and 13,845

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Solution

The fourth proportional to 30,272.52, 45,397.26 and 13,845 is: 20,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272.52 : 45,397.26 = 13,845 : x
  2. Step 2: Convert to fraction form
    30,272.52/45,397.26 = 13,845/x
  3. Step 3: Cross multiply
    30,272.52x = 45,397.26 × 13,845
  4. Step 4: Simplify right side
    30,272.52x = 628,525,064.70
  5. Step 5: Solve for x
    x = 628,525,064.70/30,272.52
  6. Step 6: Final answer
    x = 20,762.23

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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.