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Finding the Fourth Proportional to 65,541.21, 98,249.53 and 41,782.07

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Solution

The fourth proportional to 65,541.21, 98,249.53 and 41,782.07 is: 62,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,541.21 : 98,249.53 = 41,782.07 : x
  2. Step 2: Convert to fraction form
    65,541.21/98,249.53 = 41,782.07/x
  3. Step 3: Cross multiply
    65,541.21x = 98,249.53 × 41,782.07
  4. Step 4: Simplify right side
    65,541.21x = 4,105,068,039.77
  5. Step 5: Solve for x
    x = 4,105,068,039.77/65,541.21
  6. Step 6: Final answer
    x = 62,633.39

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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.