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Finding the Fourth Proportional to 65,953.30, 98,929.08 and 16,033.24

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Solution

The fourth proportional to 65,953.30, 98,929.08 and 16,033.24 is: 24,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,953.30 : 98,929.08 = 16,033.24 : x
  2. Step 2: Convert to fraction form
    65,953.30/98,929.08 = 16,033.24/x
  3. Step 3: Cross multiply
    65,953.30x = 98,929.08 × 16,033.24
  4. Step 4: Simplify right side
    65,953.30x = 1,586,153,682.62
  5. Step 5: Solve for x
    x = 1,586,153,682.62/65,953.30
  6. Step 6: Final answer
    x = 24,049.65

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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.