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Finding the Fourth Proportional to 27,348.52, 37,742.34 and 16,735

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Solution

The fourth proportional to 27,348.52, 37,742.34 and 16,735 is: 23,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348.52 : 37,742.34 = 16,735 : x
  2. Step 2: Convert to fraction form
    27,348.52/37,742.34 = 16,735/x
  3. Step 3: Cross multiply
    27,348.52x = 37,742.34 × 16,735
  4. Step 4: Simplify right side
    27,348.52x = 631,618,059.90
  5. Step 5: Solve for x
    x = 631,618,059.90/27,348.52
  6. Step 6: Final answer
    x = 23,095.15

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