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Finding the Fourth Proportional to 59,494.25, 82,095.98 and 35,620.31

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Solution

The fourth proportional to 59,494.25, 82,095.98 and 35,620.31 is: 49,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,494.25 : 82,095.98 = 35,620.31 : x
  2. Step 2: Convert to fraction form
    59,494.25/82,095.98 = 35,620.31/x
  3. Step 3: Cross multiply
    59,494.25x = 82,095.98 × 35,620.31
  4. Step 4: Simplify right side
    59,494.25x = 2,924,283,668.77
  5. Step 5: Solve for x
    x = 2,924,283,668.77/59,494.25
  6. Step 6: Final answer
    x = 49,152.38

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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.