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Finding the Fourth Proportional to 83,509.13, 124,949.81 and 58,597.79

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Solution

The fourth proportional to 83,509.13, 124,949.81 and 58,597.79 is: 87,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,509.13 : 124,949.81 = 58,597.79 : x
  2. Step 2: Convert to fraction form
    83,509.13/124,949.81 = 58,597.79/x
  3. Step 3: Cross multiply
    83,509.13x = 124,949.81 × 58,597.79
  4. Step 4: Simplify right side
    83,509.13x = 7,321,781,809.18
  5. Step 5: Solve for x
    x = 7,321,781,809.18/83,509.13
  6. Step 6: Final answer
    x = 87,676.43

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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.