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Finding the Fourth Proportional to 75,699.84, 113,596.74 and 51,409.56

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Solution

The fourth proportional to 75,699.84, 113,596.74 and 51,409.56 is: 77,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,699.84 : 113,596.74 = 51,409.56 : x
  2. Step 2: Convert to fraction form
    75,699.84/113,596.74 = 51,409.56/x
  3. Step 3: Cross multiply
    75,699.84x = 113,596.74 × 51,409.56
  4. Step 4: Simplify right side
    75,699.84x = 5,839,958,420.83
  5. Step 5: Solve for x
    x = 5,839,958,420.83/75,699.84
  6. Step 6: Final answer
    x = 77,146.25

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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.