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Finding the Fourth Proportional to 35,551, 53,322.24 and 9,257.80

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Solution

The fourth proportional to 35,551, 53,322.24 and 9,257.80 is: 13,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,551 : 53,322.24 = 9,257.80 : x
  2. Step 2: Convert to fraction form
    35,551/53,322.24 = 9,257.80/x
  3. Step 3: Cross multiply
    35,551x = 53,322.24 × 9,257.80
  4. Step 4: Simplify right side
    35,551x = 493,646,633.47
  5. Step 5: Solve for x
    x = 493,646,633.47/35,551
  6. Step 6: Final answer
    x = 13,885.59

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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.