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Finding the Fourth Proportional to 58,178.52, 80,277.60 and 32,680

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Solution

The fourth proportional to 58,178.52, 80,277.60 and 32,680 is: 45,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,178.52 : 80,277.60 = 32,680 : x
  2. Step 2: Convert to fraction form
    58,178.52/80,277.60 = 32,680/x
  3. Step 3: Cross multiply
    58,178.52x = 80,277.60 × 32,680
  4. Step 4: Simplify right side
    58,178.52x = 2,623,471,968
  5. Step 5: Solve for x
    x = 2,623,471,968/58,178.52
  6. Step 6: Final answer
    x = 45,093.48

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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.