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Finding the Fourth Proportional to 35,844, 53,767.44 and 11,220

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Solution

The fourth proportional to 35,844, 53,767.44 and 11,220 is: 16,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,844 : 53,767.44 = 11,220 : x
  2. Step 2: Convert to fraction form
    35,844/53,767.44 = 11,220/x
  3. Step 3: Cross multiply
    35,844x = 53,767.44 × 11,220
  4. Step 4: Simplify right side
    35,844x = 603,270,676.80
  5. Step 5: Solve for x
    x = 603,270,676.80/35,844
  6. Step 6: Final answer
    x = 16,830.45

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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.