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Finding the Fourth Proportional to 39,870.72, 55,022 and 21,965.80

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Solution

The fourth proportional to 39,870.72, 55,022 and 21,965.80 is: 30,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,870.72 : 55,022 = 21,965.80 : x
  2. Step 2: Convert to fraction form
    39,870.72/55,022 = 21,965.80/x
  3. Step 3: Cross multiply
    39,870.72x = 55,022 × 21,965.80
  4. Step 4: Simplify right side
    39,870.72x = 1,208,602,247.60
  5. Step 5: Solve for x
    x = 1,208,602,247.60/39,870.72
  6. Step 6: Final answer
    x = 30,313.03

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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.