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Finding the Fourth Proportional to 54,178.51, 74,774.51 and 31,204.07

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Solution

The fourth proportional to 54,178.51, 74,774.51 and 31,204.07 is: 43,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,178.51 : 74,774.51 = 31,204.07 : x
  2. Step 2: Convert to fraction form
    54,178.51/74,774.51 = 31,204.07/x
  3. Step 3: Cross multiply
    54,178.51x = 74,774.51 × 31,204.07
  4. Step 4: Simplify right side
    54,178.51x = 2,333,269,044.26
  5. Step 5: Solve for x
    x = 2,333,269,044.26/54,178.51
  6. Step 6: Final answer
    x = 43,066.32

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