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Finding the Fourth Proportional to 34,071.68, 51,101.04 and 9,112.88

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Solution

The fourth proportional to 34,071.68, 51,101.04 and 9,112.88 is: 13,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.68 : 51,101.04 = 9,112.88 : x
  2. Step 2: Convert to fraction form
    34,071.68/51,101.04 = 9,112.88/x
  3. Step 3: Cross multiply
    34,071.68x = 51,101.04 × 9,112.88
  4. Step 4: Simplify right side
    34,071.68x = 465,677,645.40
  5. Step 5: Solve for x
    x = 465,677,645.40/34,071.68
  6. Step 6: Final answer
    x = 13,667.59

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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.