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Finding the Fourth Proportional to 30,198.30, 45,275.56 and 15,214.64

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Solution

The fourth proportional to 30,198.30, 45,275.56 and 15,214.64 is: 22,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.30 : 45,275.56 = 15,214.64 : x
  2. Step 2: Convert to fraction form
    30,198.30/45,275.56 = 15,214.64/x
  3. Step 3: Cross multiply
    30,198.30x = 45,275.56 × 15,214.64
  4. Step 4: Simplify right side
    30,198.30x = 688,851,346.20
  5. Step 5: Solve for x
    x = 688,851,346.20/30,198.30
  6. Step 6: Final answer
    x = 22,810.93

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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.