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Finding the Fourth Proportional to 38,813.40, 53,546.94 and 24,468.51

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Solution

The fourth proportional to 38,813.40, 53,546.94 and 24,468.51 is: 33,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,813.40 : 53,546.94 = 24,468.51 : x
  2. Step 2: Convert to fraction form
    38,813.40/53,546.94 = 24,468.51/x
  3. Step 3: Cross multiply
    38,813.40x = 53,546.94 × 24,468.51
  4. Step 4: Simplify right side
    38,813.40x = 1,310,213,836.86
  5. Step 5: Solve for x
    x = 1,310,213,836.86/38,813.40
  6. Step 6: Final answer
    x = 33,756.74

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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.