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Finding the Fourth Proportional to 39,447.84, 54,445.05 and 23,314.49

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Solution

The fourth proportional to 39,447.84, 54,445.05 and 23,314.49 is: 32,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,447.84 : 54,445.05 = 23,314.49 : x
  2. Step 2: Convert to fraction form
    39,447.84/54,445.05 = 23,314.49/x
  3. Step 3: Cross multiply
    39,447.84x = 54,445.05 × 23,314.49
  4. Step 4: Simplify right side
    39,447.84x = 1,269,358,573.77
  5. Step 5: Solve for x
    x = 1,269,358,573.77/39,447.84
  6. Step 6: Final answer
    x = 32,178.15

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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.