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Finding the Fourth Proportional to 23,536.50, 35,304.72 and 6,006.33

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Solution

The fourth proportional to 23,536.50, 35,304.72 and 6,006.33 is: 9,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536.50 : 35,304.72 = 6,006.33 : x
  2. Step 2: Convert to fraction form
    23,536.50/35,304.72 = 6,006.33/x
  3. Step 3: Cross multiply
    23,536.50x = 35,304.72 × 6,006.33
  4. Step 4: Simplify right side
    23,536.50x = 212,051,693.95
  5. Step 5: Solve for x
    x = 212,051,693.95/23,536.50
  6. Step 6: Final answer
    x = 9,009.48

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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.