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Finding the Fourth Proportional to 60,025, 82,834.50 and 33,529

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Solution

The fourth proportional to 60,025, 82,834.50 and 33,529 is: 46,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,025 : 82,834.50 = 33,529 : x
  2. Step 2: Convert to fraction form
    60,025/82,834.50 = 33,529/x
  3. Step 3: Cross multiply
    60,025x = 82,834.50 × 33,529
  4. Step 4: Simplify right side
    60,025x = 2,777,357,950.50
  5. Step 5: Solve for x
    x = 2,777,357,950.50/60,025
  6. Step 6: Final answer
    x = 46,270.02

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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.