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Finding the Fourth Proportional to 75,817.81, 113,490.06 and 55,849.81

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Solution

The fourth proportional to 75,817.81, 113,490.06 and 55,849.81 is: 83,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,817.81 : 113,490.06 = 55,849.81 : x
  2. Step 2: Convert to fraction form
    75,817.81/113,490.06 = 55,849.81/x
  3. Step 3: Cross multiply
    75,817.81x = 113,490.06 × 55,849.81
  4. Step 4: Simplify right side
    75,817.81x = 6,338,398,287.89
  5. Step 5: Solve for x
    x = 6,338,398,287.89/75,817.81
  6. Step 6: Final answer
    x = 83,600.39

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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.