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Finding the Fourth Proportional to 54,878.23, 75,727.74 and 31,007.08

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Solution

The fourth proportional to 54,878.23, 75,727.74 and 31,007.08 is: 42,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878.23 : 75,727.74 = 31,007.08 : x
  2. Step 2: Convert to fraction form
    54,878.23/75,727.74 = 31,007.08/x
  3. Step 3: Cross multiply
    54,878.23x = 75,727.74 × 31,007.08
  4. Step 4: Simplify right side
    54,878.23x = 2,348,096,092.40
  5. Step 5: Solve for x
    x = 2,348,096,092.40/54,878.23
  6. Step 6: Final answer
    x = 42,787.39

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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.