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Finding the Fourth Proportional to 105,766.29, 158,649.98 and 35,646.21

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Solution

The fourth proportional to 105,766.29, 158,649.98 and 35,646.21 is: 53,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,766.29 : 158,649.98 = 35,646.21 : x
  2. Step 2: Convert to fraction form
    105,766.29/158,649.98 = 35,646.21/x
  3. Step 3: Cross multiply
    105,766.29x = 158,649.98 × 35,646.21
  4. Step 4: Simplify right side
    105,766.29x = 5,655,270,503.58
  5. Step 5: Solve for x
    x = 5,655,270,503.58/105,766.29
  6. Step 6: Final answer
    x = 53,469.50

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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.