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Finding the Fourth Proportional to 54,703.31, 75,494.55 and 30,505.91

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Solution

The fourth proportional to 54,703.31, 75,494.55 and 30,505.91 is: 42,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,703.31 : 75,494.55 = 30,505.91 : x
  2. Step 2: Convert to fraction form
    54,703.31/75,494.55 = 30,505.91/x
  3. Step 3: Cross multiply
    54,703.31x = 75,494.55 × 30,505.91
  4. Step 4: Simplify right side
    54,703.31x = 2,303,029,947.79
  5. Step 5: Solve for x
    x = 2,303,029,947.79/54,703.31
  6. Step 6: Final answer
    x = 42,100.38

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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.