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Finding the Fourth Proportional to 84,593.49, 116,731.26 and 48,776.58

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Solution

The fourth proportional to 84,593.49, 116,731.26 and 48,776.58 is: 67,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,593.49 : 116,731.26 = 48,776.58 : x
  2. Step 2: Convert to fraction form
    84,593.49/116,731.26 = 48,776.58/x
  3. Step 3: Cross multiply
    84,593.49x = 116,731.26 × 48,776.58
  4. Step 4: Simplify right side
    84,593.49x = 5,693,751,398.01
  5. Step 5: Solve for x
    x = 5,693,751,398.01/84,593.49
  6. Step 6: Final answer
    x = 67,307.21

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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.