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Finding the Fourth Proportional to 97,843.92, 135,048.81 and 55,427.46

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Solution

The fourth proportional to 97,843.92, 135,048.81 and 55,427.46 is: 76,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.92 : 135,048.81 = 55,427.46 : x
  2. Step 2: Convert to fraction form
    97,843.92/135,048.81 = 55,427.46/x
  3. Step 3: Cross multiply
    97,843.92x = 135,048.81 × 55,427.46
  4. Step 4: Simplify right side
    97,843.92x = 7,485,412,514.32
  5. Step 5: Solve for x
    x = 7,485,412,514.32/97,843.92
  6. Step 6: Final answer
    x = 76,503.60

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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.