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Finding the Fourth Proportional to 50,512.68, 75,771.72 and 19,345.50

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Solution

The fourth proportional to 50,512.68, 75,771.72 and 19,345.50 is: 29,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512.68 : 75,771.72 = 19,345.50 : x
  2. Step 2: Convert to fraction form
    50,512.68/75,771.72 = 19,345.50/x
  3. Step 3: Cross multiply
    50,512.68x = 75,771.72 × 19,345.50
  4. Step 4: Simplify right side
    50,512.68x = 1,465,841,809.26
  5. Step 5: Solve for x
    x = 1,465,841,809.26/50,512.68
  6. Step 6: Final answer
    x = 29,019.28

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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.