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Finding the Fourth Proportional to 51,002, 70,389.36 and 28,646

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Solution

The fourth proportional to 51,002, 70,389.36 and 28,646 is: 39,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,002 : 70,389.36 = 28,646 : x
  2. Step 2: Convert to fraction form
    51,002/70,389.36 = 28,646/x
  3. Step 3: Cross multiply
    51,002x = 70,389.36 × 28,646
  4. Step 4: Simplify right side
    51,002x = 2,016,373,606.56
  5. Step 5: Solve for x
    x = 2,016,373,606.56/51,002
  6. Step 6: Final answer
    x = 39,535.19

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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.