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Finding the Fourth Proportional to 39,870.84, 55,021.78 and 21,965.84

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Solution

The fourth proportional to 39,870.84, 55,021.78 and 21,965.84 is: 30,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,870.84 : 55,021.78 = 21,965.84 : x
  2. Step 2: Convert to fraction form
    39,870.84/55,021.78 = 21,965.84/x
  3. Step 3: Cross multiply
    39,870.84x = 55,021.78 × 21,965.84
  4. Step 4: Simplify right side
    39,870.84x = 1,208,599,616.00
  5. Step 5: Solve for x
    x = 1,208,599,616.00/39,870.84
  6. Step 6: Final answer
    x = 30,312.87

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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.