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Finding the Fourth Proportional to 97,566.40, 146,234.40 and 41,406.40

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Solution

The fourth proportional to 97,566.40, 146,234.40 and 41,406.40 is: 62,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,566.40 : 146,234.40 = 41,406.40 : x
  2. Step 2: Convert to fraction form
    97,566.40/146,234.40 = 41,406.40/x
  3. Step 3: Cross multiply
    97,566.40x = 146,234.40 × 41,406.40
  4. Step 4: Simplify right side
    97,566.40x = 6,055,040,060.16
  5. Step 5: Solve for x
    x = 6,055,040,060.16/97,566.40
  6. Step 6: Final answer
    x = 62,060.71

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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.