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Finding the Fourth Proportional to 31,121.91, 42,946.94 and 16,973.91

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Solution

The fourth proportional to 31,121.91, 42,946.94 and 16,973.91 is: 23,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,121.91 : 42,946.94 = 16,973.91 : x
  2. Step 2: Convert to fraction form
    31,121.91/42,946.94 = 16,973.91/x
  3. Step 3: Cross multiply
    31,121.91x = 42,946.94 × 16,973.91
  4. Step 4: Simplify right side
    31,121.91x = 728,977,409.47
  5. Step 5: Solve for x
    x = 728,977,409.47/31,121.91
  6. Step 6: Final answer
    x = 23,423.29

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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.