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Finding the Fourth Proportional to 39,784.38, 54,903.84 and 21,880.76

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Solution

The fourth proportional to 39,784.38, 54,903.84 and 21,880.76 is: 30,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784.38 : 54,903.84 = 21,880.76 : x
  2. Step 2: Convert to fraction form
    39,784.38/54,903.84 = 21,880.76/x
  3. Step 3: Cross multiply
    39,784.38x = 54,903.84 × 21,880.76
  4. Step 4: Simplify right side
    39,784.38x = 1,201,337,746.12
  5. Step 5: Solve for x
    x = 1,201,337,746.12/39,784.38
  6. Step 6: Final answer
    x = 30,196.22

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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.