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Finding the Fourth Proportional to 38,701.81, 53,385.81 and 24,338.84

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Solution

The fourth proportional to 38,701.81, 53,385.81 and 24,338.84 is: 33,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.81 : 53,385.81 = 24,338.84 : x
  2. Step 2: Convert to fraction form
    38,701.81/53,385.81 = 24,338.84/x
  3. Step 3: Cross multiply
    38,701.81x = 53,385.81 × 24,338.84
  4. Step 4: Simplify right side
    38,701.81x = 1,299,348,773.48
  5. Step 5: Solve for x
    x = 1,299,348,773.48/38,701.81
  6. Step 6: Final answer
    x = 33,573.33

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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.