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Finding the Fourth Proportional to 50,664.64, 75,988.08 and 13,720

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Solution

The fourth proportional to 50,664.64, 75,988.08 and 13,720 is: 20,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,664.64 : 75,988.08 = 13,720 : x
  2. Step 2: Convert to fraction form
    50,664.64/75,988.08 = 13,720/x
  3. Step 3: Cross multiply
    50,664.64x = 75,988.08 × 13,720
  4. Step 4: Simplify right side
    50,664.64x = 1,042,556,457.60
  5. Step 5: Solve for x
    x = 1,042,556,457.60/50,664.64
  6. Step 6: Final answer
    x = 20,577.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.