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Finding the Fourth Proportional to 97,846.01, 146,825.46 and 52,867.50

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Solution

The fourth proportional to 97,846.01, 146,825.46 and 52,867.50 is: 79,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,846.01 : 146,825.46 = 52,867.50 : x
  2. Step 2: Convert to fraction form
    97,846.01/146,825.46 = 52,867.50/x
  3. Step 3: Cross multiply
    97,846.01x = 146,825.46 × 52,867.50
  4. Step 4: Simplify right side
    97,846.01x = 7,762,295,006.55
  5. Step 5: Solve for x
    x = 7,762,295,006.55/97,846.01
  6. Step 6: Final answer
    x = 79,331.75

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