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Finding the Fourth Proportional to 55,258.50, 82,922.04 and 20,201.16

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Solution

The fourth proportional to 55,258.50, 82,922.04 and 20,201.16 is: 30,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,258.50 : 82,922.04 = 20,201.16 : x
  2. Step 2: Convert to fraction form
    55,258.50/82,922.04 = 20,201.16/x
  3. Step 3: Cross multiply
    55,258.50x = 82,922.04 × 20,201.16
  4. Step 4: Simplify right side
    55,258.50x = 1,675,121,397.57
  5. Step 5: Solve for x
    x = 1,675,121,397.57/55,258.50
  6. Step 6: Final answer
    x = 30,314.28

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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.