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Finding the Fourth Proportional to 33,627.60, 50,448.60 and 10,256.40

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Solution

The fourth proportional to 33,627.60, 50,448.60 and 10,256.40 is: 15,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,627.60 : 50,448.60 = 10,256.40 : x
  2. Step 2: Convert to fraction form
    33,627.60/50,448.60 = 10,256.40/x
  3. Step 3: Cross multiply
    33,627.60x = 50,448.60 × 10,256.40
  4. Step 4: Simplify right side
    33,627.60x = 517,421,021.04
  5. Step 5: Solve for x
    x = 517,421,021.04/33,627.60
  6. Step 6: Final answer
    x = 15,386.80

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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.