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Finding the Fourth Proportional to 48,888.64, 73,334.40 and 13,824.64

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Solution

The fourth proportional to 48,888.64, 73,334.40 and 13,824.64 is: 20,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,888.64 : 73,334.40 = 13,824.64 : x
  2. Step 2: Convert to fraction form
    48,888.64/73,334.40 = 13,824.64/x
  3. Step 3: Cross multiply
    48,888.64x = 73,334.40 × 13,824.64
  4. Step 4: Simplify right side
    48,888.64x = 1,013,821,679.62
  5. Step 5: Solve for x
    x = 1,013,821,679.62/48,888.64
  6. Step 6: Final answer
    x = 20,737.37

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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.