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Finding the Fourth Proportional to 47,681.48, 65,782.28 and 27,531

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Solution

The fourth proportional to 47,681.48, 65,782.28 and 27,531 is: 37,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,681.48 : 65,782.28 = 27,531 : x
  2. Step 2: Convert to fraction form
    47,681.48/65,782.28 = 27,531/x
  3. Step 3: Cross multiply
    47,681.48x = 65,782.28 × 27,531
  4. Step 4: Simplify right side
    47,681.48x = 1,811,051,813.03
  5. Step 5: Solve for x
    x = 1,811,051,813.03/47,681.48
  6. Step 6: Final answer
    x = 37,982.29

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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.