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Finding the Fourth Proportional to 35,904, 53,856 and 12,524.16

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Solution

The fourth proportional to 35,904, 53,856 and 12,524.16 is: 18,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,904 : 53,856 = 12,524.16 : x
  2. Step 2: Convert to fraction form
    35,904/53,856 = 12,524.16/x
  3. Step 3: Cross multiply
    35,904x = 53,856 × 12,524.16
  4. Step 4: Simplify right side
    35,904x = 674,501,160.96
  5. Step 5: Solve for x
    x = 674,501,160.96/35,904
  6. Step 6: Final answer
    x = 18,786.24

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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.