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Finding the Fourth Proportional to 47,578.60, 65,657.46 and 27,435.40

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Solution

The fourth proportional to 47,578.60, 65,657.46 and 27,435.40 is: 37,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578.60 : 65,657.46 = 27,435.40 : x
  2. Step 2: Convert to fraction form
    47,578.60/65,657.46 = 27,435.40/x
  3. Step 3: Cross multiply
    47,578.60x = 65,657.46 × 27,435.40
  4. Step 4: Simplify right side
    47,578.60x = 1,801,338,678.08
  5. Step 5: Solve for x
    x = 1,801,338,678.08/47,578.60
  6. Step 6: Final answer
    x = 37,860.27

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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.