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Finding the Fourth Proportional to 65,951.90, 98,926.96 and 16,031.86

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Solution

The fourth proportional to 65,951.90, 98,926.96 and 16,031.86 is: 24,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,951.90 : 98,926.96 = 16,031.86 : x
  2. Step 2: Convert to fraction form
    65,951.90/98,926.96 = 16,031.86/x
  3. Step 3: Cross multiply
    65,951.90x = 98,926.96 × 16,031.86
  4. Step 4: Simplify right side
    65,951.90x = 1,585,983,172.95
  5. Step 5: Solve for x
    x = 1,585,983,172.95/65,951.90
  6. Step 6: Final answer
    x = 24,047.57

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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.