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Finding the Fourth Proportional to 71,564.73, 98,762.41 and 39,733.63

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Solution

The fourth proportional to 71,564.73, 98,762.41 and 39,733.63 is: 54,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.73 : 98,762.41 = 39,733.63 : x
  2. Step 2: Convert to fraction form
    71,564.73/98,762.41 = 39,733.63/x
  3. Step 3: Cross multiply
    71,564.73x = 98,762.41 × 39,733.63
  4. Step 4: Simplify right side
    71,564.73x = 3,924,188,563.04
  5. Step 5: Solve for x
    x = 3,924,188,563.04/71,564.73
  6. Step 6: Final answer
    x = 54,834.11

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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.