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Finding the Fourth Proportional to 65,087.81, 89,823.30 and 36,016.51

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Solution

The fourth proportional to 65,087.81, 89,823.30 and 36,016.51 is: 49,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,087.81 : 89,823.30 = 36,016.51 : x
  2. Step 2: Convert to fraction form
    65,087.81/89,823.30 = 36,016.51/x
  3. Step 3: Cross multiply
    65,087.81x = 89,823.30 × 36,016.51
  4. Step 4: Simplify right side
    65,087.81x = 3,235,121,782.68
  5. Step 5: Solve for x
    x = 3,235,121,782.68/65,087.81
  6. Step 6: Final answer
    x = 49,703.96

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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.