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Finding the Fourth Proportional to 35,753.37, 53,613 and 13,248.61

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Solution

The fourth proportional to 35,753.37, 53,613 and 13,248.61 is: 19,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,753.37 : 53,613 = 13,248.61 : x
  2. Step 2: Convert to fraction form
    35,753.37/53,613 = 13,248.61/x
  3. Step 3: Cross multiply
    35,753.37x = 53,613 × 13,248.61
  4. Step 4: Simplify right side
    35,753.37x = 710,297,593.90
  5. Step 5: Solve for x
    x = 710,297,593.90/35,753.37
  6. Step 6: Final answer
    x = 19,866.59

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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.