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Finding the Fourth Proportional to 76,417.36, 114,476.93 and 50,042.14

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Solution

The fourth proportional to 76,417.36, 114,476.93 and 50,042.14 is: 74,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,417.36 : 114,476.93 = 50,042.14 : x
  2. Step 2: Convert to fraction form
    76,417.36/114,476.93 = 50,042.14/x
  3. Step 3: Cross multiply
    76,417.36x = 114,476.93 × 50,042.14
  4. Step 4: Simplify right side
    76,417.36x = 5,728,670,557.83
  5. Step 5: Solve for x
    x = 5,728,670,557.83/76,417.36
  6. Step 6: Final answer
    x = 74,965.56

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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.