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Finding the Fourth Proportional to 29,247.88, 43,878.30 and 13,657

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Solution

The fourth proportional to 29,247.88, 43,878.30 and 13,657 is: 20,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,247.88 : 43,878.30 = 13,657 : x
  2. Step 2: Convert to fraction form
    29,247.88/43,878.30 = 13,657/x
  3. Step 3: Cross multiply
    29,247.88x = 43,878.30 × 13,657
  4. Step 4: Simplify right side
    29,247.88x = 599,245,943.10
  5. Step 5: Solve for x
    x = 599,245,943.10/29,247.88
  6. Step 6: Final answer
    x = 20,488.53

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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.