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Finding the Fourth Proportional to 85,123.36, 117,470.46 and 46,882

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Solution

The fourth proportional to 85,123.36, 117,470.46 and 46,882 is: 64,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,123.36 : 117,470.46 = 46,882 : x
  2. Step 2: Convert to fraction form
    85,123.36/117,470.46 = 46,882/x
  3. Step 3: Cross multiply
    85,123.36x = 117,470.46 × 46,882
  4. Step 4: Simplify right side
    85,123.36x = 5,507,250,105.72
  5. Step 5: Solve for x
    x = 5,507,250,105.72/85,123.36
  6. Step 6: Final answer
    x = 64,697.28

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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.