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Finding the Fourth Proportional to 33,834, 50,753.40 and 10,457.40

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Solution

The fourth proportional to 33,834, 50,753.40 and 10,457.40 is: 15,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,834 : 50,753.40 = 10,457.40 : x
  2. Step 2: Convert to fraction form
    33,834/50,753.40 = 10,457.40/x
  3. Step 3: Cross multiply
    33,834x = 50,753.40 × 10,457.40
  4. Step 4: Simplify right side
    33,834x = 530,748,605.16
  5. Step 5: Solve for x
    x = 530,748,605.16/33,834
  6. Step 6: Final answer
    x = 15,686.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.