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Finding the Fourth Proportional to 97,753.52, 146,652.15 and 31,197.44

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Solution

The fourth proportional to 97,753.52, 146,652.15 and 31,197.44 is: 46,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,753.52 : 146,652.15 = 31,197.44 : x
  2. Step 2: Convert to fraction form
    97,753.52/146,652.15 = 31,197.44/x
  3. Step 3: Cross multiply
    97,753.52x = 146,652.15 × 31,197.44
  4. Step 4: Simplify right side
    97,753.52x = 4,575,171,650.50
  5. Step 5: Solve for x
    x = 4,575,171,650.50/97,753.52
  6. Step 6: Final answer
    x = 46,803.14

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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.