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Finding the Fourth Proportional to 30,785.76, 42,485.40 and 17,174.34

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Solution

The fourth proportional to 30,785.76, 42,485.40 and 17,174.34 is: 23,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.76 : 42,485.40 = 17,174.34 : x
  2. Step 2: Convert to fraction form
    30,785.76/42,485.40 = 17,174.34/x
  3. Step 3: Cross multiply
    30,785.76x = 42,485.40 × 17,174.34
  4. Step 4: Simplify right side
    30,785.76x = 729,658,704.64
  5. Step 5: Solve for x
    x = 729,658,704.64/30,785.76
  6. Step 6: Final answer
    x = 23,701.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.