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Finding the Fourth Proportional to 47,576.54, 65,652.31 and 26,354

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Solution

The fourth proportional to 47,576.54, 65,652.31 and 26,354 is: 36,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,576.54 : 65,652.31 = 26,354 : x
  2. Step 2: Convert to fraction form
    47,576.54/65,652.31 = 26,354/x
  3. Step 3: Cross multiply
    47,576.54x = 65,652.31 × 26,354
  4. Step 4: Simplify right side
    47,576.54x = 1,730,200,977.74
  5. Step 5: Solve for x
    x = 1,730,200,977.74/47,576.54
  6. Step 6: Final answer
    x = 36,366.68

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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.