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Finding the Fourth Proportional to 33,423.65, 46,114.74 and 19,083

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Solution

The fourth proportional to 33,423.65, 46,114.74 and 19,083 is: 26,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,423.65 : 46,114.74 = 19,083 : x
  2. Step 2: Convert to fraction form
    33,423.65/46,114.74 = 19,083/x
  3. Step 3: Cross multiply
    33,423.65x = 46,114.74 × 19,083
  4. Step 4: Simplify right side
    33,423.65x = 880,007,583.42
  5. Step 5: Solve for x
    x = 880,007,583.42/33,423.65
  6. Step 6: Final answer
    x = 26,328.89

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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.