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Finding the Fourth Proportional to 34,361.80, 51,538.86 and 13,309

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Solution

The fourth proportional to 34,361.80, 51,538.86 and 13,309 is: 19,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,361.80 : 51,538.86 = 13,309 : x
  2. Step 2: Convert to fraction form
    34,361.80/51,538.86 = 13,309/x
  3. Step 3: Cross multiply
    34,361.80x = 51,538.86 × 13,309
  4. Step 4: Simplify right side
    34,361.80x = 685,930,687.74
  5. Step 5: Solve for x
    x = 685,930,687.74/34,361.80
  6. Step 6: Final answer
    x = 19,962.01

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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.