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Finding the Fourth Proportional to 23,235, 34,832.90 and 10,077.46

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Solution

The fourth proportional to 23,235, 34,832.90 and 10,077.46 is: 15,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235 : 34,832.90 = 10,077.46 : x
  2. Step 2: Convert to fraction form
    23,235/34,832.90 = 10,077.46/x
  3. Step 3: Cross multiply
    23,235x = 34,832.90 × 10,077.46
  4. Step 4: Simplify right side
    23,235x = 351,027,181.63
  5. Step 5: Solve for x
    x = 351,027,181.63/23,235
  6. Step 6: Final answer
    x = 15,107.69

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1.5x scale

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.