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Finding the Fourth Proportional to 109,838.94, 164,771.21 and 39,751.26

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Solution

The fourth proportional to 109,838.94, 164,771.21 and 39,751.26 is: 59,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838.94 : 164,771.21 = 39,751.26 : x
  2. Step 2: Convert to fraction form
    109,838.94/164,771.21 = 39,751.26/x
  3. Step 3: Cross multiply
    109,838.94x = 164,771.21 × 39,751.26
  4. Step 4: Simplify right side
    109,838.94x = 6,549,863,209.22
  5. Step 5: Solve for x
    x = 6,549,863,209.22/109,838.94
  6. Step 6: Final answer
    x = 59,631.52

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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.