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Finding the Fourth Proportional to 54,307, 74,947.98 and 31,955.32

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Solution

The fourth proportional to 54,307, 74,947.98 and 31,955.32 is: 44,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,307 : 74,947.98 = 31,955.32 : x
  2. Step 2: Convert to fraction form
    54,307/74,947.98 = 31,955.32/x
  3. Step 3: Cross multiply
    54,307x = 74,947.98 × 31,955.32
  4. Step 4: Simplify right side
    54,307x = 2,394,986,684.25
  5. Step 5: Solve for x
    x = 2,394,986,684.25/54,307
  6. Step 6: Final answer
    x = 44,100.88

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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.