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Finding the Fourth Proportional to 97,775.70, 146,590.65 and 41,569.80

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Solution

The fourth proportional to 97,775.70, 146,590.65 and 41,569.80 is: 62,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,775.70 : 146,590.65 = 41,569.80 : x
  2. Step 2: Convert to fraction form
    97,775.70/146,590.65 = 41,569.80/x
  3. Step 3: Cross multiply
    97,775.70x = 146,590.65 × 41,569.80
  4. Step 4: Simplify right side
    97,775.70x = 6,093,744,002.37
  5. Step 5: Solve for x
    x = 6,093,744,002.37/97,775.70
  6. Step 6: Final answer
    x = 62,323.71

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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.