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Finding the Fourth Proportional to 65,968.96, 98,952 and 16,049.28

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Solution

The fourth proportional to 65,968.96, 98,952 and 16,049.28 is: 24,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,968.96 : 98,952 = 16,049.28 : x
  2. Step 2: Convert to fraction form
    65,968.96/98,952 = 16,049.28/x
  3. Step 3: Cross multiply
    65,968.96x = 98,952 × 16,049.28
  4. Step 4: Simplify right side
    65,968.96x = 1,588,108,354.56
  5. Step 5: Solve for x
    x = 1,588,108,354.56/65,968.96
  6. Step 6: Final answer
    x = 24,073.57

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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.