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Finding the Fourth Proportional to 47,309.16, 70,957.26 and 27,597

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Solution

The fourth proportional to 47,309.16, 70,957.26 and 27,597 is: 41,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,309.16 : 70,957.26 = 27,597 : x
  2. Step 2: Convert to fraction form
    47,309.16/70,957.26 = 27,597/x
  3. Step 3: Cross multiply
    47,309.16x = 70,957.26 × 27,597
  4. Step 4: Simplify right side
    47,309.16x = 1,958,207,504.22
  5. Step 5: Solve for x
    x = 1,958,207,504.22/47,309.16
  6. Step 6: Final answer
    x = 41,391.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.