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Finding the Fourth Proportional to 29,594.12, 40,839.30 and 16,165.46

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Solution

The fourth proportional to 29,594.12, 40,839.30 and 16,165.46 is: 22,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594.12 : 40,839.30 = 16,165.46 : x
  2. Step 2: Convert to fraction form
    29,594.12/40,839.30 = 16,165.46/x
  3. Step 3: Cross multiply
    29,594.12x = 40,839.30 × 16,165.46
  4. Step 4: Simplify right side
    29,594.12x = 660,185,866.38
  5. Step 5: Solve for x
    x = 660,185,866.38/29,594.12
  6. Step 6: Final answer
    x = 22,308.01

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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.