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Finding the Fourth Proportional to 35,896, 53,852.72 and 11,272

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Solution

The fourth proportional to 35,896, 53,852.72 and 11,272 is: 16,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896 : 53,852.72 = 11,272 : x
  2. Step 2: Convert to fraction form
    35,896/53,852.72 = 11,272/x
  3. Step 3: Cross multiply
    35,896x = 53,852.72 × 11,272
  4. Step 4: Simplify right side
    35,896x = 607,027,859.84
  5. Step 5: Solve for x
    x = 607,027,859.84/35,896
  6. Step 6: Final answer
    x = 16,910.74

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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.