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Finding the Fourth Proportional to 33,898.50, 46,781.64 and 19,552.98

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Solution

The fourth proportional to 33,898.50, 46,781.64 and 19,552.98 is: 26,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.50 : 46,781.64 = 19,552.98 : x
  2. Step 2: Convert to fraction form
    33,898.50/46,781.64 = 19,552.98/x
  3. Step 3: Cross multiply
    33,898.50x = 46,781.64 × 19,552.98
  4. Step 4: Simplify right side
    33,898.50x = 914,720,471.29
  5. Step 5: Solve for x
    x = 914,720,471.29/33,898.50
  6. Step 6: Final answer
    x = 26,984.10

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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.