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Finding the Fourth Proportional to 50,467.60, 75,701.40 and 31,805.20

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Solution

The fourth proportional to 50,467.60, 75,701.40 and 31,805.20 is: 47,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,467.60 : 75,701.40 = 31,805.20 : x
  2. Step 2: Convert to fraction form
    50,467.60/75,701.40 = 31,805.20/x
  3. Step 3: Cross multiply
    50,467.60x = 75,701.40 × 31,805.20
  4. Step 4: Simplify right side
    50,467.60x = 2,407,698,167.28
  5. Step 5: Solve for x
    x = 2,407,698,167.28/50,467.60
  6. Step 6: Final answer
    x = 47,707.80

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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.