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Finding the Fourth Proportional to 97,059.80, 145,590.62 and 30,498.46

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Solution

The fourth proportional to 97,059.80, 145,590.62 and 30,498.46 is: 45,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,059.80 : 145,590.62 = 30,498.46 : x
  2. Step 2: Convert to fraction form
    97,059.80/145,590.62 = 30,498.46/x
  3. Step 3: Cross multiply
    97,059.80x = 145,590.62 × 30,498.46
  4. Step 4: Simplify right side
    97,059.80x = 4,440,289,183.98
  5. Step 5: Solve for x
    x = 4,440,289,183.98/97,059.80
  6. Step 6: Final answer
    x = 45,747.97

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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.