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Finding the Fourth Proportional to 30,981.59, 42,754.93 and 16,834.43

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Solution

The fourth proportional to 30,981.59, 42,754.93 and 16,834.43 is: 23,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.59 : 42,754.93 = 16,834.43 : x
  2. Step 2: Convert to fraction form
    30,981.59/42,754.93 = 16,834.43/x
  3. Step 3: Cross multiply
    30,981.59x = 42,754.93 × 16,834.43
  4. Step 4: Simplify right side
    30,981.59x = 719,754,941.04
  5. Step 5: Solve for x
    x = 719,754,941.04/30,981.59
  6. Step 6: Final answer
    x = 23,231.70

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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.