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Finding the Fourth Proportional to 52,103.90, 71,899.98 and 33,239

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Solution

The fourth proportional to 52,103.90, 71,899.98 and 33,239 is: 45,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103.90 : 71,899.98 = 33,239 : x
  2. Step 2: Convert to fraction form
    52,103.90/71,899.98 = 33,239/x
  3. Step 3: Cross multiply
    52,103.90x = 71,899.98 × 33,239
  4. Step 4: Simplify right side
    52,103.90x = 2,389,883,435.22
  5. Step 5: Solve for x
    x = 2,389,883,435.22/52,103.90
  6. Step 6: Final answer
    x = 45,867.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.