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Finding the Fourth Proportional to 59,621, 82,294.26 and 39,749

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Solution

The fourth proportional to 59,621, 82,294.26 and 39,749 is: 54,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,621 : 82,294.26 = 39,749 : x
  2. Step 2: Convert to fraction form
    59,621/82,294.26 = 39,749/x
  3. Step 3: Cross multiply
    59,621x = 82,294.26 × 39,749
  4. Step 4: Simplify right side
    59,621x = 3,271,114,540.74
  5. Step 5: Solve for x
    x = 3,271,114,540.74/59,621
  6. Step 6: Final answer
    x = 54,865.14

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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.