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Finding the Fourth Proportional to 61,151.36, 84,381.36 and 35,996

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Solution

The fourth proportional to 61,151.36, 84,381.36 and 35,996 is: 49,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,151.36 : 84,381.36 = 35,996 : x
  2. Step 2: Convert to fraction form
    61,151.36/84,381.36 = 35,996/x
  3. Step 3: Cross multiply
    61,151.36x = 84,381.36 × 35,996
  4. Step 4: Simplify right side
    61,151.36x = 3,037,391,434.56
  5. Step 5: Solve for x
    x = 3,037,391,434.56/61,151.36
  6. Step 6: Final answer
    x = 49,670.06

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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.