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Finding the Fourth Proportional to 38,502, 57,762.72 and 10,800

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Solution

The fourth proportional to 38,502, 57,762.72 and 10,800 is: 16,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502 : 57,762.72 = 10,800 : x
  2. Step 2: Convert to fraction form
    38,502/57,762.72 = 10,800/x
  3. Step 3: Cross multiply
    38,502x = 57,762.72 × 10,800
  4. Step 4: Simplify right side
    38,502x = 623,837,376
  5. Step 5: Solve for x
    x = 623,837,376/38,502
  6. Step 6: Final answer
    x = 16,202.73

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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.