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Finding the Fourth Proportional to 57,133.77, 78,835.23 and 35,898

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Solution

The fourth proportional to 57,133.77, 78,835.23 and 35,898 is: 49,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,133.77 : 78,835.23 = 35,898 : x
  2. Step 2: Convert to fraction form
    57,133.77/78,835.23 = 35,898/x
  3. Step 3: Cross multiply
    57,133.77x = 78,835.23 × 35,898
  4. Step 4: Simplify right side
    57,133.77x = 2,830,027,086.54
  5. Step 5: Solve for x
    x = 2,830,027,086.54/57,133.77
  6. Step 6: Final answer
    x = 49,533.35

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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.