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Finding the Fourth Proportional to 102,393.47, 153,659.41 and 35,834.20

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Solution

The fourth proportional to 102,393.47, 153,659.41 and 35,834.20 is: 53,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393.47 : 153,659.41 = 35,834.20 : x
  2. Step 2: Convert to fraction form
    102,393.47/153,659.41 = 35,834.20/x
  3. Step 3: Cross multiply
    102,393.47x = 153,659.41 × 35,834.20
  4. Step 4: Simplify right side
    102,393.47x = 5,506,261,556.09
  5. Step 5: Solve for x
    x = 5,506,261,556.09/102,393.47
  6. Step 6: Final answer
    x = 53,775.51

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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.