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Finding the Fourth Proportional to 23,046, 34,564.74 and 6,401.82

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Solution

The fourth proportional to 23,046, 34,564.74 and 6,401.82 is: 9,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046 : 34,564.74 = 6,401.82 : x
  2. Step 2: Convert to fraction form
    23,046/34,564.74 = 6,401.82/x
  3. Step 3: Cross multiply
    23,046x = 34,564.74 × 6,401.82
  4. Step 4: Simplify right side
    23,046x = 221,277,243.83
  5. Step 5: Solve for x
    x = 221,277,243.83/23,046
  6. Step 6: Final answer
    x = 9,601.55

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Why These Related Problems?

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