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Finding the Fourth Proportional to 102,393.35, 153,659.22 and 35,834.05

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Solution

The fourth proportional to 102,393.35, 153,659.22 and 35,834.05 is: 53,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393.35 : 153,659.22 = 35,834.05 : x
  2. Step 2: Convert to fraction form
    102,393.35/153,659.22 = 35,834.05/x
  3. Step 3: Cross multiply
    102,393.35x = 153,659.22 × 35,834.05
  4. Step 4: Simplify right side
    102,393.35x = 5,506,232,172.44
  5. Step 5: Solve for x
    x = 5,506,232,172.44/102,393.35
  6. Step 6: Final answer
    x = 53,775.29

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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.