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Finding the Fourth Proportional to 30,949.64, 42,709.72 and 17,520.80

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Solution

The fourth proportional to 30,949.64, 42,709.72 and 17,520.80 is: 24,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.64 : 42,709.72 = 17,520.80 : x
  2. Step 2: Convert to fraction form
    30,949.64/42,709.72 = 17,520.80/x
  3. Step 3: Cross multiply
    30,949.64x = 42,709.72 × 17,520.80
  4. Step 4: Simplify right side
    30,949.64x = 748,308,462.18
  5. Step 5: Solve for x
    x = 748,308,462.18/30,949.64
  6. Step 6: Final answer
    x = 24,178.26

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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.