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Finding the Fourth Proportional to 30,283.74, 41,792.49 and 16,855.74

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Solution

The fourth proportional to 30,283.74, 41,792.49 and 16,855.74 is: 23,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.74 : 41,792.49 = 16,855.74 : x
  2. Step 2: Convert to fraction form
    30,283.74/41,792.49 = 16,855.74/x
  3. Step 3: Cross multiply
    30,283.74x = 41,792.49 × 16,855.74
  4. Step 4: Simplify right side
    30,283.74x = 704,443,345.39
  5. Step 5: Solve for x
    x = 704,443,345.39/30,283.74
  6. Step 6: Final answer
    x = 23,261.44

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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.