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Finding the Fourth Proportional to 47,804.96, 65,969.96 and 26,584.04

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Solution

The fourth proportional to 47,804.96, 65,969.96 and 26,584.04 is: 36,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804.96 : 65,969.96 = 26,584.04 : x
  2. Step 2: Convert to fraction form
    47,804.96/65,969.96 = 26,584.04/x
  3. Step 3: Cross multiply
    47,804.96x = 65,969.96 × 26,584.04
  4. Step 4: Simplify right side
    47,804.96x = 1,753,748,055.44
  5. Step 5: Solve for x
    x = 1,753,748,055.44/47,804.96
  6. Step 6: Final answer
    x = 36,685.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.