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Finding the Fourth Proportional to 50,521.66, 75,782.48 and 34,678.64

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Solution

The fourth proportional to 50,521.66, 75,782.48 and 34,678.64 is: 52,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,521.66 : 75,782.48 = 34,678.64 : x
  2. Step 2: Convert to fraction form
    50,521.66/75,782.48 = 34,678.64/x
  3. Step 3: Cross multiply
    50,521.66x = 75,782.48 × 34,678.64
  4. Step 4: Simplify right side
    50,521.66x = 2,628,033,618.38
  5. Step 5: Solve for x
    x = 2,628,033,618.38/50,521.66
  6. Step 6: Final answer
    x = 52,017.96

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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.