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Finding the Fourth Proportional to 109,159.80, 163,640.70 and 39,022.80

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Solution

The fourth proportional to 109,159.80, 163,640.70 and 39,022.80 is: 58,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,159.80 : 163,640.70 = 39,022.80 : x
  2. Step 2: Convert to fraction form
    109,159.80/163,640.70 = 39,022.80/x
  3. Step 3: Cross multiply
    109,159.80x = 163,640.70 × 39,022.80
  4. Step 4: Simplify right side
    109,159.80x = 6,385,718,307.96
  5. Step 5: Solve for x
    x = 6,385,718,307.96/109,159.80
  6. Step 6: Final answer
    x = 58,498.81

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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.