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Finding the Fourth Proportional to 35,491.84, 48,977.08 and 20,374

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Solution

The fourth proportional to 35,491.84, 48,977.08 and 20,374 is: 28,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,491.84 : 48,977.08 = 20,374 : x
  2. Step 2: Convert to fraction form
    35,491.84/48,977.08 = 20,374/x
  3. Step 3: Cross multiply
    35,491.84x = 48,977.08 × 20,374
  4. Step 4: Simplify right side
    35,491.84x = 997,859,027.92
  5. Step 5: Solve for x
    x = 997,859,027.92/35,491.84
  6. Step 6: Final answer
    x = 28,115.17

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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.