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Finding the Fourth Proportional to 97,650.12, 146,347.14 and 55,549.56

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Solution

The fourth proportional to 97,650.12, 146,347.14 and 55,549.56 is: 83,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,650.12 : 146,347.14 = 55,549.56 : x
  2. Step 2: Convert to fraction form
    97,650.12/146,347.14 = 55,549.56/x
  3. Step 3: Cross multiply
    97,650.12x = 146,347.14 × 55,549.56
  4. Step 4: Simplify right side
    97,650.12x = 8,129,519,234.26
  5. Step 5: Solve for x
    x = 8,129,519,234.26/97,650.12
  6. Step 6: Final answer
    x = 83,251.50

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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.