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Finding the Fourth Proportional to 42,709.35, 64,077.72 and 20,524.33

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Solution

The fourth proportional to 42,709.35, 64,077.72 and 20,524.33 is: 30,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709.35 : 64,077.72 = 20,524.33 : x
  2. Step 2: Convert to fraction form
    42,709.35/64,077.72 = 20,524.33/x
  3. Step 3: Cross multiply
    42,709.35x = 64,077.72 × 20,524.33
  4. Step 4: Simplify right side
    42,709.35x = 1,315,152,270.93
  5. Step 5: Solve for x
    x = 1,315,152,270.93/42,709.35
  6. Step 6: Final answer
    x = 30,793.08

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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.