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Finding the Fourth Proportional to 105,798.32, 158,696.76 and 26,911.84

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Solution

The fourth proportional to 105,798.32, 158,696.76 and 26,911.84 is: 40,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,798.32 : 158,696.76 = 26,911.84 : x
  2. Step 2: Convert to fraction form
    105,798.32/158,696.76 = 26,911.84/x
  3. Step 3: Cross multiply
    105,798.32x = 158,696.76 × 26,911.84
  4. Step 4: Simplify right side
    105,798.32x = 4,270,821,813.64
  5. Step 5: Solve for x
    x = 4,270,821,813.64/105,798.32
  6. Step 6: Final answer
    x = 40,367.58

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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.