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Finding the Fourth Proportional to 32,695.90, 49,053.36 and 16,909.86

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Solution

The fourth proportional to 32,695.90, 49,053.36 and 16,909.86 is: 25,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.90 : 49,053.36 = 16,909.86 : x
  2. Step 2: Convert to fraction form
    32,695.90/49,053.36 = 16,909.86/x
  3. Step 3: Cross multiply
    32,695.90x = 49,053.36 × 16,909.86
  4. Step 4: Simplify right side
    32,695.90x = 829,485,450.13
  5. Step 5: Solve for x
    x = 829,485,450.13/32,695.90
  6. Step 6: Final answer
    x = 25,369.71

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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.