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Finding the Fourth Proportional to 30,567.57, 42,149.34 and 21,599.66

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Solution

The fourth proportional to 30,567.57, 42,149.34 and 21,599.66 is: 29,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.57 : 42,149.34 = 21,599.66 : x
  2. Step 2: Convert to fraction form
    30,567.57/42,149.34 = 21,599.66/x
  3. Step 3: Cross multiply
    30,567.57x = 42,149.34 × 21,599.66
  4. Step 4: Simplify right side
    30,567.57x = 910,411,202.48
  5. Step 5: Solve for x
    x = 910,411,202.48/30,567.57
  6. Step 6: Final answer
    x = 29,783.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.