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Finding the Fourth Proportional to 54,324, 74,971.44 and 31,972.32

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Solution

The fourth proportional to 54,324, 74,971.44 and 31,972.32 is: 44,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 74,971.44 = 31,972.32 : x
  2. Step 2: Convert to fraction form
    54,324/74,971.44 = 31,972.32/x
  3. Step 3: Cross multiply
    54,324x = 74,971.44 × 31,972.32
  4. Step 4: Simplify right side
    54,324x = 2,397,010,870.54
  5. Step 5: Solve for x
    x = 2,397,010,870.54/54,324
  6. Step 6: Final answer
    x = 44,124.34

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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.