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Finding the Fourth Proportional to 82,465.92, 113,762.88 and 48,908.16

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Solution

The fourth proportional to 82,465.92, 113,762.88 and 48,908.16 is: 67,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,465.92 : 113,762.88 = 48,908.16 : x
  2. Step 2: Convert to fraction form
    82,465.92/113,762.88 = 48,908.16/x
  3. Step 3: Cross multiply
    82,465.92x = 113,762.88 × 48,908.16
  4. Step 4: Simplify right side
    82,465.92x = 5,563,933,137.10
  5. Step 5: Solve for x
    x = 5,563,933,137.10/82,465.92
  6. Step 6: Final answer
    x = 67,469.48

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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.