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Finding the Fourth Proportional to 59,890.75, 82,681.64 and 36,022.75

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Solution

The fourth proportional to 59,890.75, 82,681.64 and 36,022.75 is: 49,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,890.75 : 82,681.64 = 36,022.75 : x
  2. Step 2: Convert to fraction form
    59,890.75/82,681.64 = 36,022.75/x
  3. Step 3: Cross multiply
    59,890.75x = 82,681.64 × 36,022.75
  4. Step 4: Simplify right side
    59,890.75x = 2,978,420,047.31
  5. Step 5: Solve for x
    x = 2,978,420,047.31/59,890.75
  6. Step 6: Final answer
    x = 49,730.89

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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.