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Finding the Fourth Proportional to 33,523.96, 46,271.38 and 19,385

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Solution

The fourth proportional to 33,523.96, 46,271.38 and 19,385 is: 26,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.96 : 46,271.38 = 19,385 : x
  2. Step 2: Convert to fraction form
    33,523.96/46,271.38 = 19,385/x
  3. Step 3: Cross multiply
    33,523.96x = 46,271.38 × 19,385
  4. Step 4: Simplify right side
    33,523.96x = 896,970,701.30
  5. Step 5: Solve for x
    x = 896,970,701.30/33,523.96
  6. Step 6: Final answer
    x = 26,756.11

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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.