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Finding the Fourth Proportional to 54,193.76, 74,812.49 and 31,524.49

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Solution

The fourth proportional to 54,193.76, 74,812.49 and 31,524.49 is: 43,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,193.76 : 74,812.49 = 31,524.49 : x
  2. Step 2: Convert to fraction form
    54,193.76/74,812.49 = 31,524.49/x
  3. Step 3: Cross multiply
    54,193.76x = 74,812.49 × 31,524.49
  4. Step 4: Simplify right side
    54,193.76x = 2,358,425,435.26
  5. Step 5: Solve for x
    x = 2,358,425,435.26/54,193.76
  6. Step 6: Final answer
    x = 43,518.39

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1.5x scale

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.