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Finding the Fourth Proportional to 76,369.65, 114,508.41 and 34,242.11

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Solution

The fourth proportional to 76,369.65, 114,508.41 and 34,242.11 is: 51,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,369.65 : 114,508.41 = 34,242.11 : x
  2. Step 2: Convert to fraction form
    76,369.65/114,508.41 = 34,242.11/x
  3. Step 3: Cross multiply
    76,369.65x = 114,508.41 × 34,242.11
  4. Step 4: Simplify right side
    76,369.65x = 3,921,009,571.15
  5. Step 5: Solve for x
    x = 3,921,009,571.15/76,369.65
  6. Step 6: Final answer
    x = 51,342.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.