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Finding the Fourth Proportional to 34,567.44, 51,821.28 and 13,777.44

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Solution

The fourth proportional to 34,567.44, 51,821.28 and 13,777.44 is: 20,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,567.44 : 51,821.28 = 13,777.44 : x
  2. Step 2: Convert to fraction form
    34,567.44/51,821.28 = 13,777.44/x
  3. Step 3: Cross multiply
    34,567.44x = 51,821.28 × 13,777.44
  4. Step 4: Simplify right side
    34,567.44x = 713,964,575.92
  5. Step 5: Solve for x
    x = 713,964,575.92/34,567.44
  6. Step 6: Final answer
    x = 20,654.25

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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.