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Finding the Fourth Proportional to 37,459, 56,196.56 and 11,165.84

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Solution

The fourth proportional to 37,459, 56,196.56 and 11,165.84 is: 16,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,459 : 56,196.56 = 11,165.84 : x
  2. Step 2: Convert to fraction form
    37,459/56,196.56 = 11,165.84/x
  3. Step 3: Cross multiply
    37,459x = 56,196.56 × 11,165.84
  4. Step 4: Simplify right side
    37,459x = 627,481,797.51
  5. Step 5: Solve for x
    x = 627,481,797.51/37,459
  6. Step 6: Final answer
    x = 16,751.16

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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.