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Finding the Fourth Proportional to 105,622.76, 158,434.26 and 26,736.98

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Solution

The fourth proportional to 105,622.76, 158,434.26 and 26,736.98 is: 40,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,622.76 : 158,434.26 = 26,736.98 : x
  2. Step 2: Convert to fraction form
    105,622.76/158,434.26 = 26,736.98/x
  3. Step 3: Cross multiply
    105,622.76x = 158,434.26 × 26,736.98
  4. Step 4: Simplify right side
    105,622.76x = 4,236,054,037.02
  5. Step 5: Solve for x
    x = 4,236,054,037.02/105,622.76
  6. Step 6: Final answer
    x = 40,105.50

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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.