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Finding the Fourth Proportional to 47,548.64, 65,614.92 and 27,409.12

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Solution

The fourth proportional to 47,548.64, 65,614.92 and 27,409.12 is: 37,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,548.64 : 65,614.92 = 27,409.12 : x
  2. Step 2: Convert to fraction form
    47,548.64/65,614.92 = 27,409.12/x
  3. Step 3: Cross multiply
    47,548.64x = 65,614.92 × 27,409.12
  4. Step 4: Simplify right side
    47,548.64x = 1,798,447,216.07
  5. Step 5: Solve for x
    x = 1,798,447,216.07/47,548.64
  6. Step 6: Final answer
    x = 37,823.32

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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.