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Finding the Fourth Proportional to 54,686, 75,445.08 and 34,535.36

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Solution

The fourth proportional to 54,686, 75,445.08 and 34,535.36 is: 47,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,686 : 75,445.08 = 34,535.36 : x
  2. Step 2: Convert to fraction form
    54,686/75,445.08 = 34,535.36/x
  3. Step 3: Cross multiply
    54,686x = 75,445.08 × 34,535.36
  4. Step 4: Simplify right side
    54,686x = 2,605,522,998.03
  5. Step 5: Solve for x
    x = 2,605,522,998.03/54,686
  6. Step 6: Final answer
    x = 47,645.16

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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.