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Finding the Fourth Proportional to 51,084, 70,499.16 and 28,728

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Solution

The fourth proportional to 51,084, 70,499.16 and 28,728 is: 39,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084 : 70,499.16 = 28,728 : x
  2. Step 2: Convert to fraction form
    51,084/70,499.16 = 28,728/x
  3. Step 3: Cross multiply
    51,084x = 70,499.16 × 28,728
  4. Step 4: Simplify right side
    51,084x = 2,025,299,868.48
  5. Step 5: Solve for x
    x = 2,025,299,868.48/51,084
  6. Step 6: Final answer
    x = 39,646.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.