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Finding the Fourth Proportional to 82,108.80, 113,316.56 and 45,821.60

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Solution

The fourth proportional to 82,108.80, 113,316.56 and 45,821.60 is: 63,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,108.80 : 113,316.56 = 45,821.60 : x
  2. Step 2: Convert to fraction form
    82,108.80/113,316.56 = 45,821.60/x
  3. Step 3: Cross multiply
    82,108.80x = 113,316.56 × 45,821.60
  4. Step 4: Simplify right side
    82,108.80x = 5,192,346,085.70
  5. Step 5: Solve for x
    x = 5,192,346,085.70/82,108.80
  6. Step 6: Final answer
    x = 63,237.39

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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.