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Finding the Fourth Proportional to 51,385.44, 70,914.24 and 40,188

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Solution

The fourth proportional to 51,385.44, 70,914.24 and 40,188 is: 55,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,385.44 : 70,914.24 = 40,188 : x
  2. Step 2: Convert to fraction form
    51,385.44/70,914.24 = 40,188/x
  3. Step 3: Cross multiply
    51,385.44x = 70,914.24 × 40,188
  4. Step 4: Simplify right side
    51,385.44x = 2,849,901,477.12
  5. Step 5: Solve for x
    x = 2,849,901,477.12/51,385.44
  6. Step 6: Final answer
    x = 55,461.26

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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.