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Finding the Fourth Proportional to 34,423.68, 47,416.17 and 24,334.77

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Solution

The fourth proportional to 34,423.68, 47,416.17 and 24,334.77 is: 33,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,423.68 : 47,416.17 = 24,334.77 : x
  2. Step 2: Convert to fraction form
    34,423.68/47,416.17 = 24,334.77/x
  3. Step 3: Cross multiply
    34,423.68x = 47,416.17 × 24,334.77
  4. Step 4: Simplify right side
    34,423.68x = 1,153,861,591.23
  5. Step 5: Solve for x
    x = 1,153,861,591.23/34,423.68
  6. Step 6: Final answer
    x = 33,519.41

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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.