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Finding the Fourth Proportional to 82,459.60, 123,713.70 and 26,307.70

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Solution

The fourth proportional to 82,459.60, 123,713.70 and 26,307.70 is: 39,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,459.60 : 123,713.70 = 26,307.70 : x
  2. Step 2: Convert to fraction form
    82,459.60/123,713.70 = 26,307.70/x
  3. Step 3: Cross multiply
    82,459.60x = 123,713.70 × 26,307.70
  4. Step 4: Simplify right side
    82,459.60x = 3,254,622,905.49
  5. Step 5: Solve for x
    x = 3,254,622,905.49/82,459.60
  6. Step 6: Final answer
    x = 39,469.30

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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.