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Finding the Fourth Proportional to 35,687.27, 49,271.54 and 22,946.17

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Solution

The fourth proportional to 35,687.27, 49,271.54 and 22,946.17 is: 31,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.27 : 49,271.54 = 22,946.17 : x
  2. Step 2: Convert to fraction form
    35,687.27/49,271.54 = 22,946.17/x
  3. Step 3: Cross multiply
    35,687.27x = 49,271.54 × 22,946.17
  4. Step 4: Simplify right side
    35,687.27x = 1,130,593,018.27
  5. Step 5: Solve for x
    x = 1,130,593,018.27/35,687.27
  6. Step 6: Final answer
    x = 31,680.57

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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.