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Finding the Fourth Proportional to 41,888.64, 62,832.96 and 15,600

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Solution

The fourth proportional to 41,888.64, 62,832.96 and 15,600 is: 23,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,888.64 : 62,832.96 = 15,600 : x
  2. Step 2: Convert to fraction form
    41,888.64/62,832.96 = 15,600/x
  3. Step 3: Cross multiply
    41,888.64x = 62,832.96 × 15,600
  4. Step 4: Simplify right side
    41,888.64x = 980,194,176
  5. Step 5: Solve for x
    x = 980,194,176/41,888.64
  6. Step 6: Final answer
    x = 23,400

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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.