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Finding the Fourth Proportional to 48,554.08, 72,831.12 and 27,763

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Solution

The fourth proportional to 48,554.08, 72,831.12 and 27,763 is: 41,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,554.08 : 72,831.12 = 27,763 : x
  2. Step 2: Convert to fraction form
    48,554.08/72,831.12 = 27,763/x
  3. Step 3: Cross multiply
    48,554.08x = 72,831.12 × 27,763
  4. Step 4: Simplify right side
    48,554.08x = 2,022,010,384.56
  5. Step 5: Solve for x
    x = 2,022,010,384.56/48,554.08
  6. Step 6: Final answer
    x = 41,644.50

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Why These Related Problems?

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