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Finding the Fourth Proportional to 30,933.50, 42,686.19 and 17,506.13

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Solution

The fourth proportional to 30,933.50, 42,686.19 and 17,506.13 is: 24,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.50 : 42,686.19 = 17,506.13 : x
  2. Step 2: Convert to fraction form
    30,933.50/42,686.19 = 17,506.13/x
  3. Step 3: Cross multiply
    30,933.50x = 42,686.19 × 17,506.13
  4. Step 4: Simplify right side
    30,933.50x = 747,269,777.91
  5. Step 5: Solve for x
    x = 747,269,777.91/30,933.50
  6. Step 6: Final answer
    x = 24,157.30

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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.