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Finding the Fourth Proportional to 27,825, 41,737.50 and 9,357

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Solution

The fourth proportional to 27,825, 41,737.50 and 9,357 is: 14,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825 : 41,737.50 = 9,357 : x
  2. Step 2: Convert to fraction form
    27,825/41,737.50 = 9,357/x
  3. Step 3: Cross multiply
    27,825x = 41,737.50 × 9,357
  4. Step 4: Simplify right side
    27,825x = 390,537,787.50
  5. Step 5: Solve for x
    x = 390,537,787.50/27,825
  6. Step 6: Final answer
    x = 14,035.50

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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.