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Finding the Fourth Proportional to 50,565, 75,847.50 and 13,629

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Solution

The fourth proportional to 50,565, 75,847.50 and 13,629 is: 20,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,565 : 75,847.50 = 13,629 : x
  2. Step 2: Convert to fraction form
    50,565/75,847.50 = 13,629/x
  3. Step 3: Cross multiply
    50,565x = 75,847.50 × 13,629
  4. Step 4: Simplify right side
    50,565x = 1,033,725,577.50
  5. Step 5: Solve for x
    x = 1,033,725,577.50/50,565
  6. Step 6: Final answer
    x = 20,443.50

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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.