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Finding the Fourth Proportional to 27,634.76, 37,978.81 and 25,885.16

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Solution

The fourth proportional to 27,634.76, 37,978.81 and 25,885.16 is: 35,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.76 : 37,978.81 = 25,885.16 : x
  2. Step 2: Convert to fraction form
    27,634.76/37,978.81 = 25,885.16/x
  3. Step 3: Cross multiply
    27,634.76x = 37,978.81 × 25,885.16
  4. Step 4: Simplify right side
    27,634.76x = 983,087,573.46
  5. Step 5: Solve for x
    x = 983,087,573.46/27,634.76
  6. Step 6: Final answer
    x = 35,574.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.