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Finding the Fourth Proportional to 29,353.68, 40,507.38 and 16,256.31

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Solution

The fourth proportional to 29,353.68, 40,507.38 and 16,256.31 is: 22,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,353.68 : 40,507.38 = 16,256.31 : x
  2. Step 2: Convert to fraction form
    29,353.68/40,507.38 = 16,256.31/x
  3. Step 3: Cross multiply
    29,353.68x = 40,507.38 × 16,256.31
  4. Step 4: Simplify right side
    29,353.68x = 658,500,526.57
  5. Step 5: Solve for x
    x = 658,500,526.57/29,353.68
  6. Step 6: Final answer
    x = 22,433.32

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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.