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Finding the Fourth Proportional to 41,686.84, 57,529.29 and 22,824.10

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Solution

The fourth proportional to 41,686.84, 57,529.29 and 22,824.10 is: 31,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,686.84 : 57,529.29 = 22,824.10 : x
  2. Step 2: Convert to fraction form
    41,686.84/57,529.29 = 22,824.10/x
  3. Step 3: Cross multiply
    41,686.84x = 57,529.29 × 22,824.10
  4. Step 4: Simplify right side
    41,686.84x = 1,313,054,267.89
  5. Step 5: Solve for x
    x = 1,313,054,267.89/41,686.84
  6. Step 6: Final answer
    x = 31,498.05

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