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Finding the Fourth Proportional to 65,990.85, 98,986.23 and 16,071

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Solution

The fourth proportional to 65,990.85, 98,986.23 and 16,071 is: 24,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,990.85 : 98,986.23 = 16,071 : x
  2. Step 2: Convert to fraction form
    65,990.85/98,986.23 = 16,071/x
  3. Step 3: Cross multiply
    65,990.85x = 98,986.23 × 16,071
  4. Step 4: Simplify right side
    65,990.85x = 1,590,807,702.33
  5. Step 5: Solve for x
    x = 1,590,807,702.33/65,990.85
  6. Step 6: Final answer
    x = 24,106.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.