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Finding the Fourth Proportional to 38,230.84, 52,783.08 and 24,625

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Solution

The fourth proportional to 38,230.84, 52,783.08 and 24,625 is: 33,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.84 : 52,783.08 = 24,625 : x
  2. Step 2: Convert to fraction form
    38,230.84/52,783.08 = 24,625/x
  3. Step 3: Cross multiply
    38,230.84x = 52,783.08 × 24,625
  4. Step 4: Simplify right side
    38,230.84x = 1,299,783,345
  5. Step 5: Solve for x
    x = 1,299,783,345/38,230.84
  6. Step 6: Final answer
    x = 33,998.29

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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.