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Finding the Fourth Proportional to 82,859.85, 124,398.23 and 49,187.34

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Solution

The fourth proportional to 82,859.85, 124,398.23 and 49,187.34 is: 73,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,859.85 : 124,398.23 = 49,187.34 : x
  2. Step 2: Convert to fraction form
    82,859.85/124,398.23 = 49,187.34/x
  3. Step 3: Cross multiply
    82,859.85x = 124,398.23 × 49,187.34
  4. Step 4: Simplify right side
    82,859.85x = 6,118,817,788.47
  5. Step 5: Solve for x
    x = 6,118,817,788.47/82,859.85
  6. Step 6: Final answer
    x = 73,845.39

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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.