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Finding the Fourth Proportional to 47,417.98, 65,438.70 and 27,274.84

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Solution

The fourth proportional to 47,417.98, 65,438.70 and 27,274.84 is: 37,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,417.98 : 65,438.70 = 27,274.84 : x
  2. Step 2: Convert to fraction form
    47,417.98/65,438.70 = 27,274.84/x
  3. Step 3: Cross multiply
    47,417.98x = 65,438.70 × 27,274.84
  4. Step 4: Simplify right side
    47,417.98x = 1,784,830,072.31
  5. Step 5: Solve for x
    x = 1,784,830,072.31/47,417.98
  6. Step 6: Final answer
    x = 37,640.36

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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.