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Finding the Fourth Proportional to 71,636.40, 98,829.90 and 41,416.14

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Solution

The fourth proportional to 71,636.40, 98,829.90 and 41,416.14 is: 57,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,636.40 : 98,829.90 = 41,416.14 : x
  2. Step 2: Convert to fraction form
    71,636.40/98,829.90 = 41,416.14/x
  3. Step 3: Cross multiply
    71,636.40x = 98,829.90 × 41,416.14
  4. Step 4: Simplify right side
    71,636.40x = 4,093,152,974.59
  5. Step 5: Solve for x
    x = 4,093,152,974.59/71,636.40
  6. Step 6: Final answer
    x = 57,137.89

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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.