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Finding the Fourth Proportional to 29,361.94, 44,047.50 and 9,636

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Solution

The fourth proportional to 29,361.94, 44,047.50 and 9,636 is: 14,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,361.94 : 44,047.50 = 9,636 : x
  2. Step 2: Convert to fraction form
    29,361.94/44,047.50 = 9,636/x
  3. Step 3: Cross multiply
    29,361.94x = 44,047.50 × 9,636
  4. Step 4: Simplify right side
    29,361.94x = 424,441,710
  5. Step 5: Solve for x
    x = 424,441,710/29,361.94
  6. Step 6: Final answer
    x = 14,455.51

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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.