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Finding the Fourth Proportional to 61,314.93, 84,614.90 and 35,822.75

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Solution

The fourth proportional to 61,314.93, 84,614.90 and 35,822.75 is: 49,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,314.93 : 84,614.90 = 35,822.75 : x
  2. Step 2: Convert to fraction form
    61,314.93/84,614.90 = 35,822.75/x
  3. Step 3: Cross multiply
    61,314.93x = 84,614.90 × 35,822.75
  4. Step 4: Simplify right side
    61,314.93x = 3,031,137,806.79
  5. Step 5: Solve for x
    x = 3,031,137,806.79/61,314.93
  6. Step 6: Final answer
    x = 49,435.56

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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.