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Finding the Fourth Proportional to 30,261, 41,760.18 and 17,013

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Solution

The fourth proportional to 30,261, 41,760.18 and 17,013 is: 23,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261 : 41,760.18 = 17,013 : x
  2. Step 2: Convert to fraction form
    30,261/41,760.18 = 17,013/x
  3. Step 3: Cross multiply
    30,261x = 41,760.18 × 17,013
  4. Step 4: Simplify right side
    30,261x = 710,465,942.34
  5. Step 5: Solve for x
    x = 710,465,942.34/30,261
  6. Step 6: Final answer
    x = 23,477.94

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Why These Related Problems?

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