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Finding the Fourth Proportional to 105,048, 157,571.70 and 26,162.28

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Solution

The fourth proportional to 105,048, 157,571.70 and 26,162.28 is: 39,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048 : 157,571.70 = 26,162.28 : x
  2. Step 2: Convert to fraction form
    105,048/157,571.70 = 26,162.28/x
  3. Step 3: Cross multiply
    105,048x = 157,571.70 × 26,162.28
  4. Step 4: Simplify right side
    105,048x = 4,122,434,935.48
  5. Step 5: Solve for x
    x = 4,122,434,935.48/105,048
  6. Step 6: Final answer
    x = 39,243.35

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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.