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Finding the Fourth Proportional to 30,861.98, 42,587.40 and 17,433.80

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Solution

The fourth proportional to 30,861.98, 42,587.40 and 17,433.80 is: 24,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.98 : 42,587.40 = 17,433.80 : x
  2. Step 2: Convert to fraction form
    30,861.98/42,587.40 = 17,433.80/x
  3. Step 3: Cross multiply
    30,861.98x = 42,587.40 × 17,433.80
  4. Step 4: Simplify right side
    30,861.98x = 742,460,214.12
  5. Step 5: Solve for x
    x = 742,460,214.12/30,861.98
  6. Step 6: Final answer
    x = 24,057.44

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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.