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Finding the Fourth Proportional to 95,435.76, 142,868.52 and 57,882

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Solution

The fourth proportional to 95,435.76, 142,868.52 and 57,882 is: 86,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,435.76 : 142,868.52 = 57,882 : x
  2. Step 2: Convert to fraction form
    95,435.76/142,868.52 = 57,882/x
  3. Step 3: Cross multiply
    95,435.76x = 142,868.52 × 57,882
  4. Step 4: Simplify right side
    95,435.76x = 8,269,515,674.64
  5. Step 5: Solve for x
    x = 8,269,515,674.64/95,435.76
  6. Step 6: Final answer
    x = 86,650.07

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