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Finding the Fourth Proportional to 29,283, 40,410.54 and 16,035

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Solution

The fourth proportional to 29,283, 40,410.54 and 16,035 is: 22,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,283 : 40,410.54 = 16,035 : x
  2. Step 2: Convert to fraction form
    29,283/40,410.54 = 16,035/x
  3. Step 3: Cross multiply
    29,283x = 40,410.54 × 16,035
  4. Step 4: Simplify right side
    29,283x = 647,983,008.90
  5. Step 5: Solve for x
    x = 647,983,008.90/29,283
  6. Step 6: Final answer
    x = 22,128.30

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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.