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Finding the Fourth Proportional to 47,651.59, 65,762.18 and 27,512.16

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Solution

The fourth proportional to 47,651.59, 65,762.18 and 27,512.16 is: 37,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,651.59 : 65,762.18 = 27,512.16 : x
  2. Step 2: Convert to fraction form
    47,651.59/65,762.18 = 27,512.16/x
  3. Step 3: Cross multiply
    47,651.59x = 65,762.18 × 27,512.16
  4. Step 4: Simplify right side
    47,651.59x = 1,809,259,618.11
  5. Step 5: Solve for x
    x = 1,809,259,618.11/47,651.59
  6. Step 6: Final answer
    x = 37,968.50

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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.