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Finding the Fourth Proportional to 76,411.89, 114,468.72 and 50,036.67

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Solution

The fourth proportional to 76,411.89, 114,468.72 and 50,036.67 is: 74,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.89 : 114,468.72 = 50,036.67 : x
  2. Step 2: Convert to fraction form
    76,411.89/114,468.72 = 50,036.67/x
  3. Step 3: Cross multiply
    76,411.89x = 114,468.72 × 50,036.67
  4. Step 4: Simplify right side
    76,411.89x = 5,727,633,567.96
  5. Step 5: Solve for x
    x = 5,727,633,567.96/76,411.89
  6. Step 6: Final answer
    x = 74,957.36

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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.