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Finding the Fourth Proportional to 57,752, 79,697.76 and 31,256

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Solution

The fourth proportional to 57,752, 79,697.76 and 31,256 is: 43,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,752 : 79,697.76 = 31,256 : x
  2. Step 2: Convert to fraction form
    57,752/79,697.76 = 31,256/x
  3. Step 3: Cross multiply
    57,752x = 79,697.76 × 31,256
  4. Step 4: Simplify right side
    57,752x = 2,491,033,186.56
  5. Step 5: Solve for x
    x = 2,491,033,186.56/57,752
  6. Step 6: Final answer
    x = 43,133.28

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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.