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Finding the Fourth Proportional to 35,842.92, 53,746.94 and 10,878.44

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Solution

The fourth proportional to 35,842.92, 53,746.94 and 10,878.44 is: 16,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.92 : 53,746.94 = 10,878.44 : x
  2. Step 2: Convert to fraction form
    35,842.92/53,746.94 = 10,878.44/x
  3. Step 3: Cross multiply
    35,842.92x = 53,746.94 × 10,878.44
  4. Step 4: Simplify right side
    35,842.92x = 584,682,861.97
  5. Step 5: Solve for x
    x = 584,682,861.97/35,842.92
  6. Step 6: Final answer
    x = 16,312.37

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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.