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Finding the Fourth Proportional to 35,424, 53,136 and 12,049.92

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Solution

The fourth proportional to 35,424, 53,136 and 12,049.92 is: 18,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424 : 53,136 = 12,049.92 : x
  2. Step 2: Convert to fraction form
    35,424/53,136 = 12,049.92/x
  3. Step 3: Cross multiply
    35,424x = 53,136 × 12,049.92
  4. Step 4: Simplify right side
    35,424x = 640,284,549.12
  5. Step 5: Solve for x
    x = 640,284,549.12/35,424
  6. Step 6: Final answer
    x = 18,074.88

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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.