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Finding the Fourth Proportional to 55,991.80, 83,578 and 49,348.96

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Solution

The fourth proportional to 55,991.80, 83,578 and 49,348.96 is: 73,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,991.80 : 83,578 = 49,348.96 : x
  2. Step 2: Convert to fraction form
    55,991.80/83,578 = 49,348.96/x
  3. Step 3: Cross multiply
    55,991.80x = 83,578 × 49,348.96
  4. Step 4: Simplify right side
    55,991.80x = 4,124,487,378.88
  5. Step 5: Solve for x
    x = 4,124,487,378.88/55,991.80
  6. Step 6: Final answer
    x = 73,662.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.