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Finding the Fourth Proportional to 23,638.10, 35,509.95 and 19,750.10

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Solution

The fourth proportional to 23,638.10, 35,509.95 and 19,750.10 is: 29,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.10 : 35,509.95 = 19,750.10 : x
  2. Step 2: Convert to fraction form
    23,638.10/35,509.95 = 19,750.10/x
  3. Step 3: Cross multiply
    23,638.10x = 35,509.95 × 19,750.10
  4. Step 4: Simplify right side
    23,638.10x = 701,325,063.50
  5. Step 5: Solve for x
    x = 701,325,063.50/23,638.10
  6. Step 6: Final answer
    x = 29,669.27

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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.