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Finding the Fourth Proportional to 50,541.96, 75,775.50 and 24,221.64

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Solution

The fourth proportional to 50,541.96, 75,775.50 and 24,221.64 is: 36,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,541.96 : 75,775.50 = 24,221.64 : x
  2. Step 2: Convert to fraction form
    50,541.96/75,775.50 = 24,221.64/x
  3. Step 3: Cross multiply
    50,541.96x = 75,775.50 × 24,221.64
  4. Step 4: Simplify right side
    50,541.96x = 1,835,406,881.82
  5. Step 5: Solve for x
    x = 1,835,406,881.82/50,541.96
  6. Step 6: Final answer
    x = 36,314.52

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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.