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Finding the Fourth Proportional to 103,109.88, 154,684.26 and 32,970.36

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Solution

The fourth proportional to 103,109.88, 154,684.26 and 32,970.36 is: 49,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,109.88 : 154,684.26 = 32,970.36 : x
  2. Step 2: Convert to fraction form
    103,109.88/154,684.26 = 32,970.36/x
  3. Step 3: Cross multiply
    103,109.88x = 154,684.26 × 32,970.36
  4. Step 4: Simplify right side
    103,109.88x = 5,099,995,738.53
  5. Step 5: Solve for x
    x = 5,099,995,738.53/103,109.88
  6. Step 6: Final answer
    x = 49,461.76

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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.