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Finding the Fourth Proportional to 54,326, 74,974.20 and 31,974.32

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Solution

The fourth proportional to 54,326, 74,974.20 and 31,974.32 is: 44,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,326 : 74,974.20 = 31,974.32 : x
  2. Step 2: Convert to fraction form
    54,326/74,974.20 = 31,974.32/x
  3. Step 3: Cross multiply
    54,326x = 74,974.20 × 31,974.32
  4. Step 4: Simplify right side
    54,326x = 2,397,249,062.54
  5. Step 5: Solve for x
    x = 2,397,249,062.54/54,326
  6. Step 6: Final answer
    x = 44,127.10

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1.5x scale

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.