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Finding the Fourth Proportional to 109,237.37, 163,858.21 and 34,355.93

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Solution

The fourth proportional to 109,237.37, 163,858.21 and 34,355.93 is: 51,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,237.37 : 163,858.21 = 34,355.93 : x
  2. Step 2: Convert to fraction form
    109,237.37/163,858.21 = 34,355.93/x
  3. Step 3: Cross multiply
    109,237.37x = 163,858.21 × 34,355.93
  4. Step 4: Simplify right side
    109,237.37x = 5,629,500,287.50
  5. Step 5: Solve for x
    x = 5,629,500,287.50/109,237.37
  6. Step 6: Final answer
    x = 51,534.57

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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.