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Finding the Fourth Proportional to 47,682.59, 65,807.91 and 27,539.51

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Solution

The fourth proportional to 47,682.59, 65,807.91 and 27,539.51 is: 38,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682.59 : 65,807.91 = 27,539.51 : x
  2. Step 2: Convert to fraction form
    47,682.59/65,807.91 = 27,539.51/x
  3. Step 3: Cross multiply
    47,682.59x = 65,807.91 × 27,539.51
  4. Step 4: Simplify right side
    47,682.59x = 1,812,317,266.48
  5. Step 5: Solve for x
    x = 1,812,317,266.48/47,682.59
  6. Step 6: Final answer
    x = 38,007.95

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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.