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Finding the Fourth Proportional to 70,775.30, 106,160.70 and 17,467.58

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Solution

The fourth proportional to 70,775.30, 106,160.70 and 17,467.58 is: 26,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,775.30 : 106,160.70 = 17,467.58 : x
  2. Step 2: Convert to fraction form
    70,775.30/106,160.70 = 17,467.58/x
  3. Step 3: Cross multiply
    70,775.30x = 106,160.70 × 17,467.58
  4. Step 4: Simplify right side
    70,775.30x = 1,854,370,520.11
  5. Step 5: Solve for x
    x = 1,854,370,520.11/70,775.30
  6. Step 6: Final answer
    x = 26,200.81

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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.