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Finding the Fourth Proportional to 30,463.32, 45,686.34 and 11,991

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Solution

The fourth proportional to 30,463.32, 45,686.34 and 11,991 is: 17,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.32 : 45,686.34 = 11,991 : x
  2. Step 2: Convert to fraction form
    30,463.32/45,686.34 = 11,991/x
  3. Step 3: Cross multiply
    30,463.32x = 45,686.34 × 11,991
  4. Step 4: Simplify right side
    30,463.32x = 547,824,902.94
  5. Step 5: Solve for x
    x = 547,824,902.94/30,463.32
  6. Step 6: Final answer
    x = 17,983.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.