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Finding the Fourth Proportional to 50,458.80, 75,623.40 and 30,716.40

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Solution

The fourth proportional to 50,458.80, 75,623.40 and 30,716.40 is: 46,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,458.80 : 75,623.40 = 30,716.40 : x
  2. Step 2: Convert to fraction form
    50,458.80/75,623.40 = 30,716.40/x
  3. Step 3: Cross multiply
    50,458.80x = 75,623.40 × 30,716.40
  4. Step 4: Simplify right side
    50,458.80x = 2,322,878,603.76
  5. Step 5: Solve for x
    x = 2,322,878,603.76/50,458.80
  6. Step 6: Final answer
    x = 46,035.15

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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.