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Finding the Fourth Proportional to 35,483.92, 53,234.43 and 13,297.49

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Solution

The fourth proportional to 35,483.92, 53,234.43 and 13,297.49 is: 19,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,483.92 : 53,234.43 = 13,297.49 : x
  2. Step 2: Convert to fraction form
    35,483.92/53,234.43 = 13,297.49/x
  3. Step 3: Cross multiply
    35,483.92x = 53,234.43 × 13,297.49
  4. Step 4: Simplify right side
    35,483.92x = 707,884,300.58
  5. Step 5: Solve for x
    x = 707,884,300.58/35,483.92
  6. Step 6: Final answer
    x = 19,949.44

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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.