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Finding the Fourth Proportional to 38,144.84, 52,642.38 and 21,149.84

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Solution

The fourth proportional to 38,144.84, 52,642.38 and 21,149.84 is: 29,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.84 : 52,642.38 = 21,149.84 : x
  2. Step 2: Convert to fraction form
    38,144.84/52,642.38 = 21,149.84/x
  3. Step 3: Cross multiply
    38,144.84x = 52,642.38 × 21,149.84
  4. Step 4: Simplify right side
    38,144.84x = 1,113,377,914.22
  5. Step 5: Solve for x
    x = 1,113,377,914.22/38,144.84
  6. Step 6: Final answer
    x = 29,188.17

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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.