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Finding the Fourth Proportional to 82,859.84, 124,398.20 and 49,187.36

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Solution

The fourth proportional to 82,859.84, 124,398.20 and 49,187.36 is: 73,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,859.84 : 124,398.20 = 49,187.36 : x
  2. Step 2: Convert to fraction form
    82,859.84/124,398.20 = 49,187.36/x
  3. Step 3: Cross multiply
    82,859.84x = 124,398.20 × 49,187.36
  4. Step 4: Simplify right side
    82,859.84x = 6,118,819,046.75
  5. Step 5: Solve for x
    x = 6,118,819,046.75/82,859.84
  6. Step 6: Final answer
    x = 73,845.41

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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.