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Finding the Fourth Proportional to 30,049.25, 45,076.43 and 7,862.60

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Solution

The fourth proportional to 30,049.25, 45,076.43 and 7,862.60 is: 11,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,049.25 : 45,076.43 = 7,862.60 : x
  2. Step 2: Convert to fraction form
    30,049.25/45,076.43 = 7,862.60/x
  3. Step 3: Cross multiply
    30,049.25x = 45,076.43 × 7,862.60
  4. Step 4: Simplify right side
    30,049.25x = 354,418,070.87
  5. Step 5: Solve for x
    x = 354,418,070.87/30,049.25
  6. Step 6: Final answer
    x = 11,794.57

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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.