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Finding the Fourth Proportional to 50,728.68, 76,106.00 and 29,686.44

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Solution

The fourth proportional to 50,728.68, 76,106.00 and 29,686.44 is: 44,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,728.68 : 76,106.00 = 29,686.44 : x
  2. Step 2: Convert to fraction form
    50,728.68/76,106.00 = 29,686.44/x
  3. Step 3: Cross multiply
    50,728.68x = 76,106.00 × 29,686.44
  4. Step 4: Simplify right side
    50,728.68x = 2,259,316,054.21
  5. Step 5: Solve for x
    x = 2,259,316,054.21/50,728.68
  6. Step 6: Final answer
    x = 44,537.25

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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.