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Finding the Fourth Proportional to 39,471.84, 54,445.68 and 23,544

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Solution

The fourth proportional to 39,471.84, 54,445.68 and 23,544 is: 32,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,471.84 : 54,445.68 = 23,544 : x
  2. Step 2: Convert to fraction form
    39,471.84/54,445.68 = 23,544/x
  3. Step 3: Cross multiply
    39,471.84x = 54,445.68 × 23,544
  4. Step 4: Simplify right side
    39,471.84x = 1,281,869,089.92
  5. Step 5: Solve for x
    x = 1,281,869,089.92/39,471.84
  6. Step 6: Final answer
    x = 32,475.53

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Why These Related Problems?

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