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Finding the Fourth Proportional to 35,849, 53,773.56 and 13,961

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Solution

The fourth proportional to 35,849, 53,773.56 and 13,961 is: 20,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,849 : 53,773.56 = 13,961 : x
  2. Step 2: Convert to fraction form
    35,849/53,773.56 = 13,961/x
  3. Step 3: Cross multiply
    35,849x = 53,773.56 × 13,961
  4. Step 4: Simplify right side
    35,849x = 750,732,671.16
  5. Step 5: Solve for x
    x = 750,732,671.16/35,849
  6. Step 6: Final answer
    x = 20,941.52

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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.