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Finding the Fourth Proportional to 31,092.32, 42,907.40 and 16,945.16

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Solution

The fourth proportional to 31,092.32, 42,907.40 and 16,945.16 is: 23,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.32 : 42,907.40 = 16,945.16 : x
  2. Step 2: Convert to fraction form
    31,092.32/42,907.40 = 16,945.16/x
  3. Step 3: Cross multiply
    31,092.32x = 42,907.40 × 16,945.16
  4. Step 4: Simplify right side
    31,092.32x = 727,072,673.46
  5. Step 5: Solve for x
    x = 727,072,673.46/31,092.32
  6. Step 6: Final answer
    x = 23,384.32

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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.