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Finding the Fourth Proportional to 27,025, 40,537.68 and 8,557

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Solution

The fourth proportional to 27,025, 40,537.68 and 8,557 is: 12,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,025 : 40,537.68 = 8,557 : x
  2. Step 2: Convert to fraction form
    27,025/40,537.68 = 8,557/x
  3. Step 3: Cross multiply
    27,025x = 40,537.68 × 8,557
  4. Step 4: Simplify right side
    27,025x = 346,880,927.76
  5. Step 5: Solve for x
    x = 346,880,927.76/27,025
  6. Step 6: Final answer
    x = 12,835.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.