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Finding the Fourth Proportional to 47,803.83, 65,963.93 and 26,581.83

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Solution

The fourth proportional to 47,803.83, 65,963.93 and 26,581.83 is: 36,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,803.83 : 65,963.93 = 26,581.83 : x
  2. Step 2: Convert to fraction form
    47,803.83/65,963.93 = 26,581.83/x
  3. Step 3: Cross multiply
    47,803.83x = 65,963.93 × 26,581.83
  4. Step 4: Simplify right side
    47,803.83x = 1,753,441,973.39
  5. Step 5: Solve for x
    x = 1,753,441,973.39/47,803.83
  6. Step 6: Final answer
    x = 36,679.95

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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.