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Finding the Fourth Proportional to 31,093.47, 42,907.73 and 16,946.01

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Solution

The fourth proportional to 31,093.47, 42,907.73 and 16,946.01 is: 23,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.47 : 42,907.73 = 16,946.01 : x
  2. Step 2: Convert to fraction form
    31,093.47/42,907.73 = 16,946.01/x
  3. Step 3: Cross multiply
    31,093.47x = 42,907.73 × 16,946.01
  4. Step 4: Simplify right side
    31,093.47x = 727,114,821.66
  5. Step 5: Solve for x
    x = 727,114,821.66/31,093.47
  6. Step 6: Final answer
    x = 23,384.81

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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.