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Finding the Fourth Proportional to 30,500.20, 45,827.10 and 19,412.20

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Solution

The fourth proportional to 30,500.20, 45,827.10 and 19,412.20 is: 29,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.20 : 45,827.10 = 19,412.20 : x
  2. Step 2: Convert to fraction form
    30,500.20/45,827.10 = 19,412.20/x
  3. Step 3: Cross multiply
    30,500.20x = 45,827.10 × 19,412.20
  4. Step 4: Simplify right side
    30,500.20x = 889,604,830.62
  5. Step 5: Solve for x
    x = 889,604,830.62/30,500.20
  6. Step 6: Final answer
    x = 29,167.18

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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.