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Finding the Fourth Proportional to 55,886.44, 77,122.02 and 30,736.36

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Solution

The fourth proportional to 55,886.44, 77,122.02 and 30,736.36 is: 42,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,886.44 : 77,122.02 = 30,736.36 : x
  2. Step 2: Convert to fraction form
    55,886.44/77,122.02 = 30,736.36/x
  3. Step 3: Cross multiply
    55,886.44x = 77,122.02 × 30,736.36
  4. Step 4: Simplify right side
    55,886.44x = 2,370,450,170.65
  5. Step 5: Solve for x
    x = 2,370,450,170.65/55,886.44
  6. Step 6: Final answer
    x = 42,415.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.