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Finding the Fourth Proportional to 34,588.36, 51,881.82 and 9,964.36

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Solution

The fourth proportional to 34,588.36, 51,881.82 and 9,964.36 is: 14,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,588.36 : 51,881.82 = 9,964.36 : x
  2. Step 2: Convert to fraction form
    34,588.36/51,881.82 = 9,964.36/x
  3. Step 3: Cross multiply
    34,588.36x = 51,881.82 × 9,964.36
  4. Step 4: Simplify right side
    34,588.36x = 516,969,131.94
  5. Step 5: Solve for x
    x = 516,969,131.94/34,588.36
  6. Step 6: Final answer
    x = 14,946.33

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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.