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Finding the Fourth Proportional to 84,605.82, 116,768.26 and 48,788.70

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Solution

The fourth proportional to 84,605.82, 116,768.26 and 48,788.70 is: 67,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,605.82 : 116,768.26 = 48,788.70 : x
  2. Step 2: Convert to fraction form
    84,605.82/116,768.26 = 48,788.70/x
  3. Step 3: Cross multiply
    84,605.82x = 116,768.26 × 48,788.70
  4. Step 4: Simplify right side
    84,605.82x = 5,696,971,606.66
  5. Step 5: Solve for x
    x = 5,696,971,606.66/84,605.82
  6. Step 6: Final answer
    x = 67,335.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.