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Finding the Fourth Proportional to 84,558, 116,692.64 and 46,835.76

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Solution

The fourth proportional to 84,558, 116,692.64 and 46,835.76 is: 64,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,558 : 116,692.64 = 46,835.76 : x
  2. Step 2: Convert to fraction form
    84,558/116,692.64 = 46,835.76/x
  3. Step 3: Cross multiply
    84,558x = 116,692.64 × 46,835.76
  4. Step 4: Simplify right side
    84,558x = 5,465,388,480.81
  5. Step 5: Solve for x
    x = 5,465,388,480.81/84,558
  6. Step 6: Final answer
    x = 64,634.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.