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Finding the Fourth Proportional to 71,320.50, 98,448.21 and 41,512.50

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Solution

The fourth proportional to 71,320.50, 98,448.21 and 41,512.50 is: 57,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,320.50 : 98,448.21 = 41,512.50 : x
  2. Step 2: Convert to fraction form
    71,320.50/98,448.21 = 41,512.50/x
  3. Step 3: Cross multiply
    71,320.50x = 98,448.21 × 41,512.50
  4. Step 4: Simplify right side
    71,320.50x = 4,086,831,317.63
  5. Step 5: Solve for x
    x = 4,086,831,317.63/71,320.50
  6. Step 6: Final answer
    x = 57,302.34

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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.