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Finding the Fourth Proportional to 23,235.75, 34,834.03 and 10,078.21

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Solution

The fourth proportional to 23,235.75, 34,834.03 and 10,078.21 is: 15,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235.75 : 34,834.03 = 10,078.21 : x
  2. Step 2: Convert to fraction form
    23,235.75/34,834.03 = 10,078.21/x
  3. Step 3: Cross multiply
    23,235.75x = 34,834.03 × 10,078.21
  4. Step 4: Simplify right side
    23,235.75x = 351,064,669.49
  5. Step 5: Solve for x
    x = 351,064,669.49/23,235.75
  6. Step 6: Final answer
    x = 15,108.82

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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.