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Finding the Fourth Proportional to 83,200.60, 124,817.10 and 35,815.60

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Solution

The fourth proportional to 83,200.60, 124,817.10 and 35,815.60 is: 53,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.60 : 124,817.10 = 35,815.60 : x
  2. Step 2: Convert to fraction form
    83,200.60/124,817.10 = 35,815.60/x
  3. Step 3: Cross multiply
    83,200.60x = 124,817.10 × 35,815.60
  4. Step 4: Simplify right side
    83,200.60x = 4,470,399,326.76
  5. Step 5: Solve for x
    x = 4,470,399,326.76/83,200.60
  6. Step 6: Final answer
    x = 53,730.37

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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.