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Finding the Fourth Proportional to 43,191, 64,692.54 and 20,957.46

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Solution

The fourth proportional to 43,191, 64,692.54 and 20,957.46 is: 31,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,191 : 64,692.54 = 20,957.46 : x
  2. Step 2: Convert to fraction form
    43,191/64,692.54 = 20,957.46/x
  3. Step 3: Cross multiply
    43,191x = 64,692.54 × 20,957.46
  4. Step 4: Simplify right side
    43,191x = 1,355,791,319.35
  5. Step 5: Solve for x
    x = 1,355,791,319.35/43,191
  6. Step 6: Final answer
    x = 31,390.60

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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.