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Finding the Fourth Proportional to 65,953.10, 98,928.79 and 16,033.06

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Solution

The fourth proportional to 65,953.10, 98,928.79 and 16,033.06 is: 24,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,953.10 : 98,928.79 = 16,033.06 : x
  2. Step 2: Convert to fraction form
    65,953.10/98,928.79 = 16,033.06/x
  3. Step 3: Cross multiply
    65,953.10x = 98,928.79 × 16,033.06
  4. Step 4: Simplify right side
    65,953.10x = 1,586,131,225.80
  5. Step 5: Solve for x
    x = 1,586,131,225.80/65,953.10
  6. Step 6: Final answer
    x = 24,049.38

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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.