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Finding the Fourth Proportional to 47,615.50, 65,709.39 and 26,398

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Solution

The fourth proportional to 47,615.50, 65,709.39 and 26,398 is: 36,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,615.50 : 65,709.39 = 26,398 : x
  2. Step 2: Convert to fraction form
    47,615.50/65,709.39 = 26,398/x
  3. Step 3: Cross multiply
    47,615.50x = 65,709.39 × 26,398
  4. Step 4: Simplify right side
    47,615.50x = 1,734,596,477.22
  5. Step 5: Solve for x
    x = 1,734,596,477.22/47,615.50
  6. Step 6: Final answer
    x = 36,429.24

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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.