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Finding the Fourth Proportional to 31,051.52, 42,851.87 and 16,905.14

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Solution

The fourth proportional to 31,051.52, 42,851.87 and 16,905.14 is: 23,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.52 : 42,851.87 = 16,905.14 : x
  2. Step 2: Convert to fraction form
    31,051.52/42,851.87 = 16,905.14/x
  3. Step 3: Cross multiply
    31,051.52x = 42,851.87 × 16,905.14
  4. Step 4: Simplify right side
    31,051.52x = 724,416,562.83
  5. Step 5: Solve for x
    x = 724,416,562.83/31,051.52
  6. Step 6: Final answer
    x = 23,329.51

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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.