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Finding the Fourth Proportional to 82,814.40, 124,221.60 and 43,383.60

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Solution

The fourth proportional to 82,814.40, 124,221.60 and 43,383.60 is: 65,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.40 : 124,221.60 = 43,383.60 : x
  2. Step 2: Convert to fraction form
    82,814.40/124,221.60 = 43,383.60/x
  3. Step 3: Cross multiply
    82,814.40x = 124,221.60 × 43,383.60
  4. Step 4: Simplify right side
    82,814.40x = 5,389,180,205.76
  5. Step 5: Solve for x
    x = 5,389,180,205.76/82,814.40
  6. Step 6: Final answer
    x = 65,075.40

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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.