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Finding the Fourth Proportional to 47,419.40, 65,440.64 and 27,276.24

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Solution

The fourth proportional to 47,419.40, 65,440.64 and 27,276.24 is: 37,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,419.40 : 65,440.64 = 27,276.24 : x
  2. Step 2: Convert to fraction form
    47,419.40/65,440.64 = 27,276.24/x
  3. Step 3: Cross multiply
    47,419.40x = 65,440.64 × 27,276.24
  4. Step 4: Simplify right side
    47,419.40x = 1,784,974,602.39
  5. Step 5: Solve for x
    x = 1,784,974,602.39/47,419.40
  6. Step 6: Final answer
    x = 37,642.29

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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.