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Finding the Fourth Proportional to 30,531.24, 42,134.04 and 17,102.48

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Solution

The fourth proportional to 30,531.24, 42,134.04 and 17,102.48 is: 23,601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.24 : 42,134.04 = 17,102.48 : x
  2. Step 2: Convert to fraction form
    30,531.24/42,134.04 = 17,102.48/x
  3. Step 3: Cross multiply
    30,531.24x = 42,134.04 × 17,102.48
  4. Step 4: Simplify right side
    30,531.24x = 720,596,576.42
  5. Step 5: Solve for x
    x = 720,596,576.42/30,531.24
  6. Step 6: Final answer
    x = 23,601.94

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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.