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Finding the Fourth Proportional to 29,686.50, 40,967.37 and 16,438.50

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Solution

The fourth proportional to 29,686.50, 40,967.37 and 16,438.50 is: 22,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.50 : 40,967.37 = 16,438.50 : x
  2. Step 2: Convert to fraction form
    29,686.50/40,967.37 = 16,438.50/x
  3. Step 3: Cross multiply
    29,686.50x = 40,967.37 × 16,438.50
  4. Step 4: Simplify right side
    29,686.50x = 673,442,111.75
  5. Step 5: Solve for x
    x = 673,442,111.75/29,686.50
  6. Step 6: Final answer
    x = 22,685.13

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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.