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Finding the Fourth Proportional to 82,809.63, 124,033.41 and 64,040.31

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Solution

The fourth proportional to 82,809.63, 124,033.41 and 64,040.31 is: 95,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.63 : 124,033.41 = 64,040.31 : x
  2. Step 2: Convert to fraction form
    82,809.63/124,033.41 = 64,040.31/x
  3. Step 3: Cross multiply
    82,809.63x = 124,033.41 × 64,040.31
  4. Step 4: Simplify right side
    82,809.63x = 7,943,138,026.76
  5. Step 5: Solve for x
    x = 7,943,138,026.76/82,809.63
  6. Step 6: Final answer
    x = 95,920.46

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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.