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Finding the Fourth Proportional to 30,592.32, 42,219.84 and 17,849.40

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Solution

The fourth proportional to 30,592.32, 42,219.84 and 17,849.40 is: 24,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592.32 : 42,219.84 = 17,849.40 : x
  2. Step 2: Convert to fraction form
    30,592.32/42,219.84 = 17,849.40/x
  3. Step 3: Cross multiply
    30,592.32x = 42,219.84 × 17,849.40
  4. Step 4: Simplify right side
    30,592.32x = 753,598,812.10
  5. Step 5: Solve for x
    x = 753,598,812.10/30,592.32
  6. Step 6: Final answer
    x = 24,633.59

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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.