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Finding the Fourth Proportional to 32,843.16, 45,323.16 and 20,094.12

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Solution

The fourth proportional to 32,843.16, 45,323.16 and 20,094.12 is: 27,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.16 : 45,323.16 = 20,094.12 : x
  2. Step 2: Convert to fraction form
    32,843.16/45,323.16 = 20,094.12/x
  3. Step 3: Cross multiply
    32,843.16x = 45,323.16 × 20,094.12
  4. Step 4: Simplify right side
    32,843.16x = 910,729,015.82
  5. Step 5: Solve for x
    x = 910,729,015.82/32,843.16
  6. Step 6: Final answer
    x = 27,729.64

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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.