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Finding the Fourth Proportional to 71,289.54, 98,401.50 and 41,095.06

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Solution

The fourth proportional to 71,289.54, 98,401.50 and 41,095.06 is: 56,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,289.54 : 98,401.50 = 41,095.06 : x
  2. Step 2: Convert to fraction form
    71,289.54/98,401.50 = 41,095.06/x
  3. Step 3: Cross multiply
    71,289.54x = 98,401.50 × 41,095.06
  4. Step 4: Simplify right side
    71,289.54x = 4,043,815,300.59
  5. Step 5: Solve for x
    x = 4,043,815,300.59/71,289.54
  6. Step 6: Final answer
    x = 56,723.82

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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.