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Finding the Fourth Proportional to 27,459.64, 37,891.50 and 16,849.72

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Solution

The fourth proportional to 27,459.64, 37,891.50 and 16,849.72 is: 23,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459.64 : 37,891.50 = 16,849.72 : x
  2. Step 2: Convert to fraction form
    27,459.64/37,891.50 = 16,849.72/x
  3. Step 3: Cross multiply
    27,459.64x = 37,891.50 × 16,849.72
  4. Step 4: Simplify right side
    27,459.64x = 638,461,165.38
  5. Step 5: Solve for x
    x = 638,461,165.38/27,459.64
  6. Step 6: Final answer
    x = 23,250.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.