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Finding the Fourth Proportional to 35,627.84, 49,158.76 and 21,480.38

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Solution

The fourth proportional to 35,627.84, 49,158.76 and 21,480.38 is: 29,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,627.84 : 49,158.76 = 21,480.38 : x
  2. Step 2: Convert to fraction form
    35,627.84/49,158.76 = 21,480.38/x
  3. Step 3: Cross multiply
    35,627.84x = 49,158.76 × 21,480.38
  4. Step 4: Simplify right side
    35,627.84x = 1,055,948,845.13
  5. Step 5: Solve for x
    x = 1,055,948,845.13/35,627.84
  6. Step 6: Final answer
    x = 29,638.31

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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.