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Finding the Fourth Proportional to 112,709.76, 169,060.80 and 33,820.80

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Solution

The fourth proportional to 112,709.76, 169,060.80 and 33,820.80 is: 50,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,709.76 : 169,060.80 = 33,820.80 : x
  2. Step 2: Convert to fraction form
    112,709.76/169,060.80 = 33,820.80/x
  3. Step 3: Cross multiply
    112,709.76x = 169,060.80 × 33,820.80
  4. Step 4: Simplify right side
    112,709.76x = 5,717,771,504.64
  5. Step 5: Solve for x
    x = 5,717,771,504.64/112,709.76
  6. Step 6: Final answer
    x = 50,730.05

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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.