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Finding the Fourth Proportional to 55,808.91, 76,994.55 and 31,922.82

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Solution

The fourth proportional to 55,808.91, 76,994.55 and 31,922.82 is: 44,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,808.91 : 76,994.55 = 31,922.82 : x
  2. Step 2: Convert to fraction form
    55,808.91/76,994.55 = 31,922.82/x
  3. Step 3: Cross multiply
    55,808.91x = 76,994.55 × 31,922.82
  4. Step 4: Simplify right side
    55,808.91x = 2,457,883,160.63
  5. Step 5: Solve for x
    x = 2,457,883,160.63/55,808.91
  6. Step 6: Final answer
    x = 44,041.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.