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Finding the Fourth Proportional to 109,713.81, 164,576.40 and 34,839.81

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Solution

The fourth proportional to 109,713.81, 164,576.40 and 34,839.81 is: 52,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,713.81 : 164,576.40 = 34,839.81 : x
  2. Step 2: Convert to fraction form
    109,713.81/164,576.40 = 34,839.81/x
  3. Step 3: Cross multiply
    109,713.81x = 164,576.40 × 34,839.81
  4. Step 4: Simplify right side
    109,713.81x = 5,733,810,506.48
  5. Step 5: Solve for x
    x = 5,733,810,506.48/109,713.81
  6. Step 6: Final answer
    x = 52,261.52

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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.