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Finding the Fourth Proportional to 47,567.40, 65,642.85 and 27,424.17

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Solution

The fourth proportional to 47,567.40, 65,642.85 and 27,424.17 is: 37,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,567.40 : 65,642.85 = 27,424.17 : x
  2. Step 2: Convert to fraction form
    47,567.40/65,642.85 = 27,424.17/x
  3. Step 3: Cross multiply
    47,567.40x = 65,642.85 × 27,424.17
  4. Step 4: Simplify right side
    47,567.40x = 1,800,200,677.68
  5. Step 5: Solve for x
    x = 1,800,200,677.68/47,567.40
  6. Step 6: Final answer
    x = 37,845.26

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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.