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Finding the Fourth Proportional to 35,973, 49,649.22 and 21,069

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Solution

The fourth proportional to 35,973, 49,649.22 and 21,069 is: 29,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,973 : 49,649.22 = 21,069 : x
  2. Step 2: Convert to fraction form
    35,973/49,649.22 = 21,069/x
  3. Step 3: Cross multiply
    35,973x = 49,649.22 × 21,069
  4. Step 4: Simplify right side
    35,973x = 1,046,059,416.18
  5. Step 5: Solve for x
    x = 1,046,059,416.18/35,973
  6. Step 6: Final answer
    x = 29,079.02

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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.