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Finding the Fourth Proportional to 47,709.74, 65,841.48 and 26,489

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Solution

The fourth proportional to 47,709.74, 65,841.48 and 26,489 is: 36,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.74 : 65,841.48 = 26,489 : x
  2. Step 2: Convert to fraction form
    47,709.74/65,841.48 = 26,489/x
  3. Step 3: Cross multiply
    47,709.74x = 65,841.48 × 26,489
  4. Step 4: Simplify right side
    47,709.74x = 1,744,074,963.72
  5. Step 5: Solve for x
    x = 1,744,074,963.72/47,709.74
  6. Step 6: Final answer
    x = 36,555.95

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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.