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Finding the Fourth Proportional to 65,969.16, 98,952.90 and 16,049.30

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Solution

The fourth proportional to 65,969.16, 98,952.90 and 16,049.30 is: 24,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,969.16 : 98,952.90 = 16,049.30 : x
  2. Step 2: Convert to fraction form
    65,969.16/98,952.90 = 16,049.30/x
  3. Step 3: Cross multiply
    65,969.16x = 98,952.90 × 16,049.30
  4. Step 4: Simplify right side
    65,969.16x = 1,588,124,283.21
  5. Step 5: Solve for x
    x = 1,588,124,283.21/65,969.16
  6. Step 6: Final answer
    x = 24,073.74

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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.