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Finding the Fourth Proportional to 103,580.70, 155,456.10 and 53,676.06

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Solution

The fourth proportional to 103,580.70, 155,456.10 and 53,676.06 is: 80,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,580.70 : 155,456.10 = 53,676.06 : x
  2. Step 2: Convert to fraction form
    103,580.70/155,456.10 = 53,676.06/x
  3. Step 3: Cross multiply
    103,580.70x = 155,456.10 × 53,676.06
  4. Step 4: Simplify right side
    103,580.70x = 8,344,270,950.97
  5. Step 5: Solve for x
    x = 8,344,270,950.97/103,580.70
  6. Step 6: Final answer
    x = 80,558.16

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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.