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Finding the Fourth Proportional to 65,924.91, 98,840.39 and 30,845.43

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Solution

The fourth proportional to 65,924.91, 98,840.39 and 30,845.43 is: 46,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,924.91 : 98,840.39 = 30,845.43 : x
  2. Step 2: Convert to fraction form
    65,924.91/98,840.39 = 30,845.43/x
  3. Step 3: Cross multiply
    65,924.91x = 98,840.39 × 30,845.43
  4. Step 4: Simplify right side
    65,924.91x = 3,048,774,176.69
  5. Step 5: Solve for x
    x = 3,048,774,176.69/65,924.91
  6. Step 6: Final answer
    x = 46,246.16

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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.