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Finding the Fourth Proportional to 34,114.80, 51,172.20 and 11,920.80

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Solution

The fourth proportional to 34,114.80, 51,172.20 and 11,920.80 is: 17,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.80 : 51,172.20 = 11,920.80 : x
  2. Step 2: Convert to fraction form
    34,114.80/51,172.20 = 11,920.80/x
  3. Step 3: Cross multiply
    34,114.80x = 51,172.20 × 11,920.80
  4. Step 4: Simplify right side
    34,114.80x = 610,013,561.76
  5. Step 5: Solve for x
    x = 610,013,561.76/34,114.80
  6. Step 6: Final answer
    x = 17,881.20

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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.