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Finding the Fourth Proportional to 84,491.52, 116,604 and 48,680.64

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Solution

The fourth proportional to 84,491.52, 116,604 and 48,680.64 is: 67,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,491.52 : 116,604 = 48,680.64 : x
  2. Step 2: Convert to fraction form
    84,491.52/116,604 = 48,680.64/x
  3. Step 3: Cross multiply
    84,491.52x = 116,604 × 48,680.64
  4. Step 4: Simplify right side
    84,491.52x = 5,676,357,346.56
  5. Step 5: Solve for x
    x = 5,676,357,346.56/84,491.52
  6. Step 6: Final answer
    x = 67,182.57

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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.