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Finding the Fourth Proportional to 104,291.25, 156,441.74 and 30,419.25

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Solution

The fourth proportional to 104,291.25, 156,441.74 and 30,419.25 is: 45,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,291.25 : 156,441.74 = 30,419.25 : x
  2. Step 2: Convert to fraction form
    104,291.25/156,441.74 = 30,419.25/x
  3. Step 3: Cross multiply
    104,291.25x = 156,441.74 × 30,419.25
  4. Step 4: Simplify right side
    104,291.25x = 4,758,840,247.40
  5. Step 5: Solve for x
    x = 4,758,840,247.40/104,291.25
  6. Step 6: Final answer
    x = 45,630.29

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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.