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Finding the Fourth Proportional to 30,243, 41,737.50 and 16,814.28

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Solution

The fourth proportional to 30,243, 41,737.50 and 16,814.28 is: 23,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243 : 41,737.50 = 16,814.28 : x
  2. Step 2: Convert to fraction form
    30,243/41,737.50 = 16,814.28/x
  3. Step 3: Cross multiply
    30,243x = 41,737.50 × 16,814.28
  4. Step 4: Simplify right side
    30,243x = 701,786,011.50
  5. Step 5: Solve for x
    x = 701,786,011.50/30,243
  6. Step 6: Final answer
    x = 23,204.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.