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Finding the Fourth Proportional to 81,407.80, 122,111.70 and 51,956.20

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Solution

The fourth proportional to 81,407.80, 122,111.70 and 51,956.20 is: 77,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,407.80 : 122,111.70 = 51,956.20 : x
  2. Step 2: Convert to fraction form
    81,407.80/122,111.70 = 51,956.20/x
  3. Step 3: Cross multiply
    81,407.80x = 122,111.70 × 51,956.20
  4. Step 4: Simplify right side
    81,407.80x = 6,344,459,907.54
  5. Step 5: Solve for x
    x = 6,344,459,907.54/81,407.80
  6. Step 6: Final answer
    x = 77,934.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.