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Finding the Fourth Proportional to 35,892.78, 49,531.53 and 19,977.22

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Solution

The fourth proportional to 35,892.78, 49,531.53 and 19,977.22 is: 27,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892.78 : 49,531.53 = 19,977.22 : x
  2. Step 2: Convert to fraction form
    35,892.78/49,531.53 = 19,977.22/x
  3. Step 3: Cross multiply
    35,892.78x = 49,531.53 × 19,977.22
  4. Step 4: Simplify right side
    35,892.78x = 989,502,271.75
  5. Step 5: Solve for x
    x = 989,502,271.75/35,892.78
  6. Step 6: Final answer
    x = 27,568.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.