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Finding the Fourth Proportional to 30,837, 42,560.82 and 17,589

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Solution

The fourth proportional to 30,837, 42,560.82 and 17,589 is: 24,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837 : 42,560.82 = 17,589 : x
  2. Step 2: Convert to fraction form
    30,837/42,560.82 = 17,589/x
  3. Step 3: Cross multiply
    30,837x = 42,560.82 × 17,589
  4. Step 4: Simplify right side
    30,837x = 748,602,262.98
  5. Step 5: Solve for x
    x = 748,602,262.98/30,837
  6. Step 6: Final answer
    x = 24,276.11

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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.