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Finding the Fourth Proportional to 59,686.90, 82,363.90 and 34,193.38

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Solution

The fourth proportional to 59,686.90, 82,363.90 and 34,193.38 is: 47,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,686.90 : 82,363.90 = 34,193.38 : x
  2. Step 2: Convert to fraction form
    59,686.90/82,363.90 = 34,193.38/x
  3. Step 3: Cross multiply
    59,686.90x = 82,363.90 × 34,193.38
  4. Step 4: Simplify right side
    59,686.90x = 2,816,300,130.98
  5. Step 5: Solve for x
    x = 2,816,300,130.98/59,686.90
  6. Step 6: Final answer
    x = 47,184.56

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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.