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Finding the Fourth Proportional to 57,152.46, 85,729.14 and 17,709.33

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Solution

The fourth proportional to 57,152.46, 85,729.14 and 17,709.33 is: 26,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.46 : 85,729.14 = 17,709.33 : x
  2. Step 2: Convert to fraction form
    57,152.46/85,729.14 = 17,709.33/x
  3. Step 3: Cross multiply
    57,152.46x = 85,729.14 × 17,709.33
  4. Step 4: Simplify right side
    57,152.46x = 1,518,205,630.88
  5. Step 5: Solve for x
    x = 1,518,205,630.88/57,152.46
  6. Step 6: Final answer
    x = 26,564.13

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