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Finding the Fourth Proportional to 30,516.20, 45,851.10 and 19,428.20

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Solution

The fourth proportional to 30,516.20, 45,851.10 and 19,428.20 is: 29,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516.20 : 45,851.10 = 19,428.20 : x
  2. Step 2: Convert to fraction form
    30,516.20/45,851.10 = 19,428.20/x
  3. Step 3: Cross multiply
    30,516.20x = 45,851.10 × 19,428.20
  4. Step 4: Simplify right side
    30,516.20x = 890,804,341.02
  5. Step 5: Solve for x
    x = 890,804,341.02/30,516.20
  6. Step 6: Final answer
    x = 29,191.19

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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.