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Finding the Fourth Proportional to 50,580.96, 75,834 and 24,260.64

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Solution

The fourth proportional to 50,580.96, 75,834 and 24,260.64 is: 36,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,580.96 : 75,834 = 24,260.64 : x
  2. Step 2: Convert to fraction form
    50,580.96/75,834 = 24,260.64/x
  3. Step 3: Cross multiply
    50,580.96x = 75,834 × 24,260.64
  4. Step 4: Simplify right side
    50,580.96x = 1,839,781,373.76
  5. Step 5: Solve for x
    x = 1,839,781,373.76/50,580.96
  6. Step 6: Final answer
    x = 36,373.00

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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.