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Finding the Fourth Proportional to 34,343.40, 51,543.90 and 16,828.20

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Solution

The fourth proportional to 34,343.40, 51,543.90 and 16,828.20 is: 25,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,343.40 : 51,543.90 = 16,828.20 : x
  2. Step 2: Convert to fraction form
    34,343.40/51,543.90 = 16,828.20/x
  3. Step 3: Cross multiply
    34,343.40x = 51,543.90 × 16,828.20
  4. Step 4: Simplify right side
    34,343.40x = 867,391,057.98
  5. Step 5: Solve for x
    x = 867,391,057.98/34,343.40
  6. Step 6: Final answer
    x = 25,256.41

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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.