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Finding the Fourth Proportional to 59,708, 82,350.40 and 37,034.28

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Solution

The fourth proportional to 59,708, 82,350.40 and 37,034.28 is: 51,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,708 : 82,350.40 = 37,034.28 : x
  2. Step 2: Convert to fraction form
    59,708/82,350.40 = 37,034.28/x
  3. Step 3: Cross multiply
    59,708x = 82,350.40 × 37,034.28
  4. Step 4: Simplify right side
    59,708x = 3,049,787,771.71
  5. Step 5: Solve for x
    x = 3,049,787,771.71/59,708
  6. Step 6: Final answer
    x = 51,078.38

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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.