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Finding the Fourth Proportional to 55,994.77, 83,582.54 and 49,351.96

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Solution

The fourth proportional to 55,994.77, 83,582.54 and 49,351.96 is: 73,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,994.77 : 83,582.54 = 49,351.96 : x
  2. Step 2: Convert to fraction form
    55,994.77/83,582.54 = 49,351.96/x
  3. Step 3: Cross multiply
    55,994.77x = 83,582.54 × 49,351.96
  4. Step 4: Simplify right side
    55,994.77x = 4,124,962,170.78
  5. Step 5: Solve for x
    x = 4,124,962,170.78/55,994.77
  6. Step 6: Final answer
    x = 73,666.92

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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.