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Finding the Fourth Proportional to 29,392, 40,563.52 and 16,146.56

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Solution

The fourth proportional to 29,392, 40,563.52 and 16,146.56 is: 22,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,392 : 40,563.52 = 16,146.56 : x
  2. Step 2: Convert to fraction form
    29,392/40,563.52 = 16,146.56/x
  3. Step 3: Cross multiply
    29,392x = 40,563.52 × 16,146.56
  4. Step 4: Simplify right side
    29,392x = 654,961,309.49
  5. Step 5: Solve for x
    x = 654,961,309.49/29,392
  6. Step 6: Final answer
    x = 22,283.66

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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.