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Finding the Fourth Proportional to 57,205.80, 85,806.36 and 23,917.32

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Solution

The fourth proportional to 57,205.80, 85,806.36 and 23,917.32 is: 35,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.80 : 85,806.36 = 23,917.32 : x
  2. Step 2: Convert to fraction form
    57,205.80/85,806.36 = 23,917.32/x
  3. Step 3: Cross multiply
    57,205.80x = 85,806.36 × 23,917.32
  4. Step 4: Simplify right side
    57,205.80x = 2,052,258,170.16
  5. Step 5: Solve for x
    x = 2,052,258,170.16/57,205.80
  6. Step 6: Final answer
    x = 35,875.00

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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.