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Finding the Fourth Proportional to 61,494.21, 84,833.01 and 35,984.79

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Solution

The fourth proportional to 61,494.21, 84,833.01 and 35,984.79 is: 49,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,494.21 : 84,833.01 = 35,984.79 : x
  2. Step 2: Convert to fraction form
    61,494.21/84,833.01 = 35,984.79/x
  3. Step 3: Cross multiply
    61,494.21x = 84,833.01 × 35,984.79
  4. Step 4: Simplify right side
    61,494.21x = 3,052,697,715.90
  5. Step 5: Solve for x
    x = 3,052,697,715.90/61,494.21
  6. Step 6: Final answer
    x = 49,642.03

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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.