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Finding the Fourth Proportional to 31,152.63, 42,984.06 and 19,818

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Solution

The fourth proportional to 31,152.63, 42,984.06 and 19,818 is: 27,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.63 : 42,984.06 = 19,818 : x
  2. Step 2: Convert to fraction form
    31,152.63/42,984.06 = 19,818/x
  3. Step 3: Cross multiply
    31,152.63x = 42,984.06 × 19,818
  4. Step 4: Simplify right side
    31,152.63x = 851,858,101.08
  5. Step 5: Solve for x
    x = 851,858,101.08/31,152.63
  6. Step 6: Final answer
    x = 27,344.66

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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.