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Finding the Fourth Proportional to 82,427.90, 115,661.50 and 82,427.90

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Solution

The fourth proportional to 82,427.90, 115,661.50 and 82,427.90 is: 115,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,427.90 : 115,661.50 = 82,427.90 : x
  2. Step 2: Convert to fraction form
    82,427.90/115,661.50 = 82,427.90/x
  3. Step 3: Cross multiply
    82,427.90x = 115,661.50 × 82,427.90
  4. Step 4: Simplify right side
    82,427.90x = 9,533,734,555.85
  5. Step 5: Solve for x
    x = 9,533,734,555.85/82,427.90
  6. Step 6: Final answer
    x = 115,661.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.