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Finding the Fourth Proportional to 35,457.92, 53,184.96 and 10,832

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Solution

The fourth proportional to 35,457.92, 53,184.96 and 10,832 is: 16,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,457.92 : 53,184.96 = 10,832 : x
  2. Step 2: Convert to fraction form
    35,457.92/53,184.96 = 10,832/x
  3. Step 3: Cross multiply
    35,457.92x = 53,184.96 × 10,832
  4. Step 4: Simplify right side
    35,457.92x = 576,099,486.72
  5. Step 5: Solve for x
    x = 576,099,486.72/35,457.92
  6. Step 6: Final answer
    x = 16,247.41

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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.