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Finding the Fourth Proportional to 102,393.73, 153,659.79 and 35,834.44

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Solution

The fourth proportional to 102,393.73, 153,659.79 and 35,834.44 is: 53,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393.73 : 153,659.79 = 35,834.44 : x
  2. Step 2: Convert to fraction form
    102,393.73/153,659.79 = 35,834.44/x
  3. Step 3: Cross multiply
    102,393.73x = 153,659.79 × 35,834.44
  4. Step 4: Simplify right side
    102,393.73x = 5,506,312,525.17
  5. Step 5: Solve for x
    x = 5,506,312,525.17/102,393.73
  6. Step 6: Final answer
    x = 53,775.88

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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.