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Finding the Fourth Proportional to 50,577.96, 75,829.50 and 24,257.64

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Solution

The fourth proportional to 50,577.96, 75,829.50 and 24,257.64 is: 36,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,577.96 : 75,829.50 = 24,257.64 : x
  2. Step 2: Convert to fraction form
    50,577.96/75,829.50 = 24,257.64/x
  3. Step 3: Cross multiply
    50,577.96x = 75,829.50 × 24,257.64
  4. Step 4: Simplify right side
    50,577.96x = 1,839,444,712.38
  5. Step 5: Solve for x
    x = 1,839,444,712.38/50,577.96
  6. Step 6: Final answer
    x = 36,368.50

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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.