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Finding the Fourth Proportional to 97,395.52, 145,982.54 and 41,200.56

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Solution

The fourth proportional to 97,395.52, 145,982.54 and 41,200.56 is: 61,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,395.52 : 145,982.54 = 41,200.56 : x
  2. Step 2: Convert to fraction form
    97,395.52/145,982.54 = 41,200.56/x
  3. Step 3: Cross multiply
    97,395.52x = 145,982.54 × 41,200.56
  4. Step 4: Simplify right side
    97,395.52x = 6,014,562,398.22
  5. Step 5: Solve for x
    x = 6,014,562,398.22/97,395.52
  6. Step 6: Final answer
    x = 61,753.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.