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Finding the Fourth Proportional to 65,953.90, 98,929.96 and 16,033.86

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Solution

The fourth proportional to 65,953.90, 98,929.96 and 16,033.86 is: 24,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,953.90 : 98,929.96 = 16,033.86 : x
  2. Step 2: Convert to fraction form
    65,953.90/98,929.96 = 16,033.86/x
  3. Step 3: Cross multiply
    65,953.90x = 98,929.96 × 16,033.86
  4. Step 4: Simplify right side
    65,953.90x = 1,586,229,128.45
  5. Step 5: Solve for x
    x = 1,586,229,128.45/65,953.90
  6. Step 6: Final answer
    x = 24,050.57

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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.