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Finding the Fourth Proportional to 30,595.20, 45,764.80 and 27,497.60

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Solution

The fourth proportional to 30,595.20, 45,764.80 and 27,497.60 is: 41,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.20 : 45,764.80 = 27,497.60 : x
  2. Step 2: Convert to fraction form
    30,595.20/45,764.80 = 27,497.60/x
  3. Step 3: Cross multiply
    30,595.20x = 45,764.80 × 27,497.60
  4. Step 4: Simplify right side
    30,595.20x = 1,258,422,164.48
  5. Step 5: Solve for x
    x = 1,258,422,164.48/30,595.20
  6. Step 6: Final answer
    x = 41,131.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.