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Finding the Fourth Proportional to 32,542.20, 48,813.30 and 19,420.20

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Solution

The fourth proportional to 32,542.20, 48,813.30 and 19,420.20 is: 29,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.20 : 48,813.30 = 19,420.20 : x
  2. Step 2: Convert to fraction form
    32,542.20/48,813.30 = 19,420.20/x
  3. Step 3: Cross multiply
    32,542.20x = 48,813.30 × 19,420.20
  4. Step 4: Simplify right side
    32,542.20x = 947,964,048.66
  5. Step 5: Solve for x
    x = 947,964,048.66/32,542.20
  6. Step 6: Final answer
    x = 29,130.30

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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.