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Finding the Fourth Proportional to 54,802.26, 82,203.12 and 13,249.26

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Solution

The fourth proportional to 54,802.26, 82,203.12 and 13,249.26 is: 19,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,802.26 : 82,203.12 = 13,249.26 : x
  2. Step 2: Convert to fraction form
    54,802.26/82,203.12 = 13,249.26/x
  3. Step 3: Cross multiply
    54,802.26x = 82,203.12 × 13,249.26
  4. Step 4: Simplify right side
    54,802.26x = 1,089,130,509.69
  5. Step 5: Solve for x
    x = 1,089,130,509.69/54,802.26
  6. Step 6: Final answer
    x = 19,873.82

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1.5x scale

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.