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Finding the Fourth Proportional to 65,801.94, 98,746.65 and 30,744.33

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Solution

The fourth proportional to 65,801.94, 98,746.65 and 30,744.33 is: 46,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801.94 : 98,746.65 = 30,744.33 : x
  2. Step 2: Convert to fraction form
    65,801.94/98,746.65 = 30,744.33/x
  3. Step 3: Cross multiply
    65,801.94x = 98,746.65 × 30,744.33
  4. Step 4: Simplify right side
    65,801.94x = 3,035,899,593.99
  5. Step 5: Solve for x
    x = 3,035,899,593.99/65,801.94
  6. Step 6: Final answer
    x = 46,136.93

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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.