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Finding the Fourth Proportional to 53,364, 80,036.26 and 23,776.32

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Solution

The fourth proportional to 53,364, 80,036.26 and 23,776.32 is: 35,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,364 : 80,036.26 = 23,776.32 : x
  2. Step 2: Convert to fraction form
    53,364/80,036.26 = 23,776.32/x
  3. Step 3: Cross multiply
    53,364x = 80,036.26 × 23,776.32
  4. Step 4: Simplify right side
    53,364x = 1,902,967,729.36
  5. Step 5: Solve for x
    x = 1,902,967,729.36/53,364
  6. Step 6: Final answer
    x = 35,660.14

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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.