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Finding the Fourth Proportional to 85,814.60, 128,645.10 and 33,206.60

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Solution

The fourth proportional to 85,814.60, 128,645.10 and 33,206.60 is: 49,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814.60 : 128,645.10 = 33,206.60 : x
  2. Step 2: Convert to fraction form
    85,814.60/128,645.10 = 33,206.60/x
  3. Step 3: Cross multiply
    85,814.60x = 128,645.10 × 33,206.60
  4. Step 4: Simplify right side
    85,814.60x = 4,271,866,377.66
  5. Step 5: Solve for x
    x = 4,271,866,377.66/85,814.60
  6. Step 6: Final answer
    x = 49,780.18

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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.