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Finding the Fourth Proportional to 49,777.76, 74,696.04 and 18,185

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Solution

The fourth proportional to 49,777.76, 74,696.04 and 18,185 is: 27,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,777.76 : 74,696.04 = 18,185 : x
  2. Step 2: Convert to fraction form
    49,777.76/74,696.04 = 18,185/x
  3. Step 3: Cross multiply
    49,777.76x = 74,696.04 × 18,185
  4. Step 4: Simplify right side
    49,777.76x = 1,358,347,487.40
  5. Step 5: Solve for x
    x = 1,358,347,487.40/49,777.76
  6. Step 6: Final answer
    x = 27,288.24

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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.