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Finding the Fourth Proportional to 97,907.80, 146,861.82 and 26,831.05

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Solution

The fourth proportional to 97,907.80, 146,861.82 and 26,831.05 is: 40,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,907.80 : 146,861.82 = 26,831.05 : x
  2. Step 2: Convert to fraction form
    97,907.80/146,861.82 = 26,831.05/x
  3. Step 3: Cross multiply
    97,907.80x = 146,861.82 × 26,831.05
  4. Step 4: Simplify right side
    97,907.80x = 3,940,456,835.51
  5. Step 5: Solve for x
    x = 3,940,456,835.51/97,907.80
  6. Step 6: Final answer
    x = 40,246.61

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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.