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Finding the Fourth Proportional to 82,350, 113,604.93 and 48,347.55

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Solution

The fourth proportional to 82,350, 113,604.93 and 48,347.55 is: 66,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,350 : 113,604.93 = 48,347.55 : x
  2. Step 2: Convert to fraction form
    82,350/113,604.93 = 48,347.55/x
  3. Step 3: Cross multiply
    82,350x = 113,604.93 × 48,347.55
  4. Step 4: Simplify right side
    82,350x = 5,492,520,033.42
  5. Step 5: Solve for x
    x = 5,492,520,033.42/82,350
  6. Step 6: Final answer
    x = 66,697.27

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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.