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Finding the Fourth Proportional to 97,555.10, 146,346.57 and 30,092.81

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Solution

The fourth proportional to 97,555.10, 146,346.57 and 30,092.81 is: 45,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,555.10 : 146,346.57 = 30,092.81 : x
  2. Step 2: Convert to fraction form
    97,555.10/146,346.57 = 30,092.81/x
  3. Step 3: Cross multiply
    97,555.10x = 146,346.57 × 30,092.81
  4. Step 4: Simplify right side
    97,555.10x = 4,403,978,793.43
  5. Step 5: Solve for x
    x = 4,403,978,793.43/97,555.10
  6. Step 6: Final answer
    x = 45,143.50

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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.