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Finding the Fourth Proportional to 29,853.84, 44,773.76 and 13,204.80

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Solution

The fourth proportional to 29,853.84, 44,773.76 and 13,204.80 is: 19,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.84 : 44,773.76 = 13,204.80 : x
  2. Step 2: Convert to fraction form
    29,853.84/44,773.76 = 13,204.80/x
  3. Step 3: Cross multiply
    29,853.84x = 44,773.76 × 13,204.80
  4. Step 4: Simplify right side
    29,853.84x = 591,228,546.05
  5. Step 5: Solve for x
    x = 591,228,546.05/29,853.84
  6. Step 6: Final answer
    x = 19,804.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.