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Finding the Fourth Proportional to 32,716.49, 49,073.69 and 9,342.90

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Solution

The fourth proportional to 32,716.49, 49,073.69 and 9,342.90 is: 14,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716.49 : 49,073.69 = 9,342.90 : x
  2. Step 2: Convert to fraction form
    32,716.49/49,073.69 = 9,342.90/x
  3. Step 3: Cross multiply
    32,716.49x = 49,073.69 × 9,342.90
  4. Step 4: Simplify right side
    32,716.49x = 458,490,601.66
  5. Step 5: Solve for x
    x = 458,490,601.66/32,716.49
  6. Step 6: Final answer
    x = 14,014.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.