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Finding the Fourth Proportional to 59,683.90, 82,359.76 and 34,190.38

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Solution

The fourth proportional to 59,683.90, 82,359.76 and 34,190.38 is: 47,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,683.90 : 82,359.76 = 34,190.38 : x
  2. Step 2: Convert to fraction form
    59,683.90/82,359.76 = 34,190.38/x
  3. Step 3: Cross multiply
    59,683.90x = 82,359.76 × 34,190.38
  4. Step 4: Simplify right side
    59,683.90x = 2,815,911,491.11
  5. Step 5: Solve for x
    x = 2,815,911,491.11/59,683.90
  6. Step 6: Final answer
    x = 47,180.42

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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.