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Finding the Fourth Proportional to 30,965.48, 42,750.06 and 20,385.87

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Solution

The fourth proportional to 30,965.48, 42,750.06 and 20,385.87 is: 28,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.48 : 42,750.06 = 20,385.87 : x
  2. Step 2: Convert to fraction form
    30,965.48/42,750.06 = 20,385.87/x
  3. Step 3: Cross multiply
    30,965.48x = 42,750.06 × 20,385.87
  4. Step 4: Simplify right side
    30,965.48x = 871,497,028.35
  5. Step 5: Solve for x
    x = 871,497,028.35/30,965.48
  6. Step 6: Final answer
    x = 28,144.15

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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.