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Finding the Fourth Proportional to 34,463.60, 51,669.80 and 13,676.40

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Solution

The fourth proportional to 34,463.60, 51,669.80 and 13,676.40 is: 20,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,463.60 : 51,669.80 = 13,676.40 : x
  2. Step 2: Convert to fraction form
    34,463.60/51,669.80 = 13,676.40/x
  3. Step 3: Cross multiply
    34,463.60x = 51,669.80 × 13,676.40
  4. Step 4: Simplify right side
    34,463.60x = 706,656,852.72
  5. Step 5: Solve for x
    x = 706,656,852.72/34,463.60
  6. Step 6: Final answer
    x = 20,504.44

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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.