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Finding the Fourth Proportional to 56,852.38, 85,297.40 and 17,409.83

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Solution

The fourth proportional to 56,852.38, 85,297.40 and 17,409.83 is: 26,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,852.38 : 85,297.40 = 17,409.83 : x
  2. Step 2: Convert to fraction form
    56,852.38/85,297.40 = 17,409.83/x
  3. Step 3: Cross multiply
    56,852.38x = 85,297.40 × 17,409.83
  4. Step 4: Simplify right side
    56,852.38x = 1,485,013,146.39
  5. Step 5: Solve for x
    x = 1,485,013,146.39/56,852.38
  6. Step 6: Final answer
    x = 26,120.51

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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.