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Finding the Fourth Proportional to 82,953.21, 114,472.13 and 48,972.64

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Solution

The fourth proportional to 82,953.21, 114,472.13 and 48,972.64 is: 67,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953.21 : 114,472.13 = 48,972.64 : x
  2. Step 2: Convert to fraction form
    82,953.21/114,472.13 = 48,972.64/x
  3. Step 3: Cross multiply
    82,953.21x = 114,472.13 × 48,972.64
  4. Step 4: Simplify right side
    82,953.21x = 5,606,002,494.40
  5. Step 5: Solve for x
    x = 5,606,002,494.40/82,953.21
  6. Step 6: Final answer
    x = 67,580.30

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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.