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Finding the Fourth Proportional to 35,439, 53,153.03 and 11,756.84

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Solution

The fourth proportional to 35,439, 53,153.03 and 11,756.84 is: 17,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,439 : 53,153.03 = 11,756.84 : x
  2. Step 2: Convert to fraction form
    35,439/53,153.03 = 11,756.84/x
  3. Step 3: Cross multiply
    35,439x = 53,153.03 × 11,756.84
  4. Step 4: Simplify right side
    35,439x = 624,911,344.68
  5. Step 5: Solve for x
    x = 624,911,344.68/35,439
  6. Step 6: Final answer
    x = 17,633.44

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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.