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Finding the Fourth Proportional to 82,956, 114,479.28 and 53,149.92

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Solution

The fourth proportional to 82,956, 114,479.28 and 53,149.92 is: 73,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,956 : 114,479.28 = 53,149.92 : x
  2. Step 2: Convert to fraction form
    82,956/114,479.28 = 53,149.92/x
  3. Step 3: Cross multiply
    82,956x = 114,479.28 × 53,149.92
  4. Step 4: Simplify right side
    82,956x = 6,084,564,573.66
  5. Step 5: Solve for x
    x = 6,084,564,573.66/82,956
  6. Step 6: Final answer
    x = 73,346.89

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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.