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Finding the Fourth Proportional to 23,537.06, 35,305.10 and 6,006.50

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Solution

The fourth proportional to 23,537.06, 35,305.10 and 6,006.50 is: 9,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.06 : 35,305.10 = 6,006.50 : x
  2. Step 2: Convert to fraction form
    23,537.06/35,305.10 = 6,006.50/x
  3. Step 3: Cross multiply
    23,537.06x = 35,305.10 × 6,006.50
  4. Step 4: Simplify right side
    23,537.06x = 212,060,083.15
  5. Step 5: Solve for x
    x = 212,060,083.15/23,537.06
  6. Step 6: Final answer
    x = 9,009.62

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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.