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Finding the Fourth Proportional to 39,428.84, 54,411 and 21,523.79

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Solution

The fourth proportional to 39,428.84, 54,411 and 21,523.79 is: 29,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,428.84 : 54,411 = 21,523.79 : x
  2. Step 2: Convert to fraction form
    39,428.84/54,411 = 21,523.79/x
  3. Step 3: Cross multiply
    39,428.84x = 54,411 × 21,523.79
  4. Step 4: Simplify right side
    39,428.84x = 1,171,130,937.69
  5. Step 5: Solve for x
    x = 1,171,130,937.69/39,428.84
  6. Step 6: Final answer
    x = 29,702.39

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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.