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Finding the Fourth Proportional to 31,039.88, 42,835.05 and 16,892.82

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Solution

The fourth proportional to 31,039.88, 42,835.05 and 16,892.82 is: 23,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,039.88 : 42,835.05 = 16,892.82 : x
  2. Step 2: Convert to fraction form
    31,039.88/42,835.05 = 16,892.82/x
  3. Step 3: Cross multiply
    31,039.88x = 42,835.05 × 16,892.82
  4. Step 4: Simplify right side
    31,039.88x = 723,604,789.34
  5. Step 5: Solve for x
    x = 723,604,789.34/31,039.88
  6. Step 6: Final answer
    x = 23,312.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.