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Finding the Fourth Proportional to 31,728, 47,598.78 and 9,539.52

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Solution

The fourth proportional to 31,728, 47,598.78 and 9,539.52 is: 14,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728 : 47,598.78 = 9,539.52 : x
  2. Step 2: Convert to fraction form
    31,728/47,598.78 = 9,539.52/x
  3. Step 3: Cross multiply
    31,728x = 47,598.78 × 9,539.52
  4. Step 4: Simplify right side
    31,728x = 454,069,513.79
  5. Step 5: Solve for x
    x = 454,069,513.79/31,728
  6. Step 6: Final answer
    x = 14,311.32

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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.