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Finding the Fourth Proportional to 50,567.56, 75,876.94 and 34,117

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Solution

The fourth proportional to 50,567.56, 75,876.94 and 34,117 is: 51,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,567.56 : 75,876.94 = 34,117 : x
  2. Step 2: Convert to fraction form
    50,567.56/75,876.94 = 34,117/x
  3. Step 3: Cross multiply
    50,567.56x = 75,876.94 × 34,117
  4. Step 4: Simplify right side
    50,567.56x = 2,588,693,561.98
  5. Step 5: Solve for x
    x = 2,588,693,561.98/50,567.56
  6. Step 6: Final answer
    x = 51,192.77

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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.