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Finding the Fourth Proportional to 71,826.55, 107,758.35 and 34,415.49

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Solution

The fourth proportional to 71,826.55, 107,758.35 and 34,415.49 is: 51,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,826.55 : 107,758.35 = 34,415.49 : x
  2. Step 2: Convert to fraction form
    71,826.55/107,758.35 = 34,415.49/x
  3. Step 3: Cross multiply
    71,826.55x = 107,758.35 × 34,415.49
  4. Step 4: Simplify right side
    71,826.55x = 3,708,556,416.84
  5. Step 5: Solve for x
    x = 3,708,556,416.84/71,826.55
  6. Step 6: Final answer
    x = 51,632.11

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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.