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Finding the Fourth Proportional to 34,013.40, 51,020.10 and 13,223.40

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Solution

The fourth proportional to 34,013.40, 51,020.10 and 13,223.40 is: 19,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013.40 : 51,020.10 = 13,223.40 : x
  2. Step 2: Convert to fraction form
    34,013.40/51,020.10 = 13,223.40/x
  3. Step 3: Cross multiply
    34,013.40x = 51,020.10 × 13,223.40
  4. Step 4: Simplify right side
    34,013.40x = 674,659,190.34
  5. Step 5: Solve for x
    x = 674,659,190.34/34,013.40
  6. Step 6: Final answer
    x = 19,835.10

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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.