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Finding the Fourth Proportional to 102,052.25, 153,038.97 and 33,647.35

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Solution

The fourth proportional to 102,052.25, 153,038.97 and 33,647.35 is: 50,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,052.25 : 153,038.97 = 33,647.35 : x
  2. Step 2: Convert to fraction form
    102,052.25/153,038.97 = 33,647.35/x
  3. Step 3: Cross multiply
    102,052.25x = 153,038.97 × 33,647.35
  4. Step 4: Simplify right side
    102,052.25x = 5,149,355,691.58
  5. Step 5: Solve for x
    x = 5,149,355,691.58/102,052.25
  6. Step 6: Final answer
    x = 50,458.03

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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.