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Finding the Fourth Proportional to 30,897, 46,343.34 and 16,114.23

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Solution

The fourth proportional to 30,897, 46,343.34 and 16,114.23 is: 24,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897 : 46,343.34 = 16,114.23 : x
  2. Step 2: Convert to fraction form
    30,897/46,343.34 = 16,114.23/x
  3. Step 3: Cross multiply
    30,897x = 46,343.34 × 16,114.23
  4. Step 4: Simplify right side
    30,897x = 746,787,239.73
  5. Step 5: Solve for x
    x = 746,787,239.73/30,897
  6. Step 6: Final answer
    x = 24,170.22

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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.