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Finding the Fourth Proportional to 102,647.68, 153,841.92 and 50,073.60

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Solution

The fourth proportional to 102,647.68, 153,841.92 and 50,073.60 is: 75,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.68 : 153,841.92 = 50,073.60 : x
  2. Step 2: Convert to fraction form
    102,647.68/153,841.92 = 50,073.60/x
  3. Step 3: Cross multiply
    102,647.68x = 153,841.92 × 50,073.60
  4. Step 4: Simplify right side
    102,647.68x = 7,703,418,765.31
  5. Step 5: Solve for x
    x = 7,703,418,765.31/102,647.68
  6. Step 6: Final answer
    x = 75,047.18

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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.