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Finding the Fourth Proportional to 30,652.84, 45,936.74 and 13,972.12

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Solution

The fourth proportional to 30,652.84, 45,936.74 and 13,972.12 is: 20,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.84 : 45,936.74 = 13,972.12 : x
  2. Step 2: Convert to fraction form
    30,652.84/45,936.74 = 13,972.12/x
  3. Step 3: Cross multiply
    30,652.84x = 45,936.74 × 13,972.12
  4. Step 4: Simplify right side
    30,652.84x = 641,833,643.69
  5. Step 5: Solve for x
    x = 641,833,643.69/30,652.84
  6. Step 6: Final answer
    x = 20,938.80

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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.