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Finding the Fourth Proportional to 30,296.63, 45,445.16 and 10,575.20

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Solution

The fourth proportional to 30,296.63, 45,445.16 and 10,575.20 is: 15,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.63 : 45,445.16 = 10,575.20 : x
  2. Step 2: Convert to fraction form
    30,296.63/45,445.16 = 10,575.20/x
  3. Step 3: Cross multiply
    30,296.63x = 45,445.16 × 10,575.20
  4. Step 4: Simplify right side
    30,296.63x = 480,591,625.66
  5. Step 5: Solve for x
    x = 480,591,625.66/30,296.63
  6. Step 6: Final answer
    x = 15,862.88

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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.