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Finding the Fourth Proportional to 51,734.56, 71,325.60 and 33,798.40

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Solution

The fourth proportional to 51,734.56, 71,325.60 and 33,798.40 is: 46,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.56 : 71,325.60 = 33,798.40 : x
  2. Step 2: Convert to fraction form
    51,734.56/71,325.60 = 33,798.40/x
  3. Step 3: Cross multiply
    51,734.56x = 71,325.60 × 33,798.40
  4. Step 4: Simplify right side
    51,734.56x = 2,410,691,159.04
  5. Step 5: Solve for x
    x = 2,410,691,159.04/51,734.56
  6. Step 6: Final answer
    x = 46,597.31

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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.