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Finding the Fourth Proportional to 57,896.51, 86,692.50 and 46,591.74

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Solution

The fourth proportional to 57,896.51, 86,692.50 and 46,591.74 is: 69,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,896.51 : 86,692.50 = 46,591.74 : x
  2. Step 2: Convert to fraction form
    57,896.51/86,692.50 = 46,591.74/x
  3. Step 3: Cross multiply
    57,896.51x = 86,692.50 × 46,591.74
  4. Step 4: Simplify right side
    57,896.51x = 4,039,154,419.95
  5. Step 5: Solve for x
    x = 4,039,154,419.95/57,896.51
  6. Step 6: Final answer
    x = 69,765.08

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Why These Related Problems?

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